Extrinsic geometry of calibrated submanifolds. (English) Zbl 07855989
Reviewer: Andrea Spiro (Camerino)
Found 81 Documents (Results 1–81)
On the type constancy of some six-dimensional planar submanifolds of Cayley algebra. (Russian. English summary) Zbl 1531.53031
On stability of Hermitian structures on 6-dimensional planar submanifolds of Cayley algebra. (Russian. English summary) Zbl 1490.53030
The Cayley cubic and differential equations. (English) Zbl 1497.53056
Reviewer: Simona Druta-Romaniuc (Iaşi)
Order of contact and ruled submanifolds. (English) Zbl 1471.14079
Reviewer: Hans-Peter Schröcker (Innsbruck)
Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space. (English) Zbl 1468.53006
Reviewer: Marcos Craizer (Rio de Janeiro)
Deformations of calibrated submanifolds with boundary. (English) Zbl 1447.53054
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 365-382 (2020).
Complex and calibrated geometry. (English) Zbl 1447.53006
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 349-364 (2020).
On six-dimensional Vaisman-Gray submanifolds of the octave algebra. (Russian. English summary) Zbl 1455.53080
Reviewer: Vladimir Yu. Rovenskij (Nesher)
Deformations of conically singular Cayley submanifolds. (English) Zbl 1466.53061
Reviewer: James Hebda (St. Louis)
Deformations of homogeneous associative submanifolds in nearly parallel \(G_2\)-manifolds. (English) Zbl 1391.53064
Reviewer: Yurii G. Nikonorov (Volgodonsk)
Morse theory and the Lusternik-Schnirelmann category of quaternionic Grassmannians. (English) Zbl 1420.55009
On locally symmetric 6-dimensional Hermitian submanifolds of a Cayley algebra. (Russian. English summary) Zbl 1396.53078
Reviewer: Andrew Bucki (Edmond)
The generalized Cayley hypersurfaces and their geometrical characterization. (English) Zbl 1339.53005
Reviewer: Huili Liu (Shenyang)
On almost contact metric hypersurfaces with type number 1 in 6-dimensional Kähler submanifolds of the Cayley algebra. (English. Russian original) Zbl 1311.53049
Russ. Math. 58, No. 10, 10-14 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 10, 13-18 (2014).
The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra. (English. Russian original) Zbl 1316.53059
Sib. Math. J. 55, No. 2, 210-214 (2014); translation from Sib. Mat. Zh. 55, No. 2, 261-266 (2014).
Reviewer: Zbigniew Olszak (Wrocław)
Dual split quaternions and Chasles’ theorem in 3-dimensional Minkowski space. (English) Zbl 1290.53011
Curvature-adapted submanifolds of symmetric spaces. (English) Zbl 1271.53053
Reviewer: Walter Freyn (Augsburg)
Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections. (English) Zbl 1260.53085
Reviewer: Antonella Nannicini (Firenze)
MSC:
53C38
The interplay between the CR “flatness condition” and existence results for the prescribed Webster scalar curvature. (English) Zbl 1256.32033
Reviewer: Eugen Pascu (Montréal)
A differential geometric characterization of the Cayley hypersurface. (English) Zbl 1232.53016
Reviewer: Friedrich Manhart (Wien)
Isotropic immersions of the Cayley projective plane and Cayley Frenet curves. (English) Zbl 1231.53017
Cayley cones ruled by 2-planes: desingularization and implications of the twistor fibration. (English) Zbl 1177.53051
Reviewer: Alessandro Ghigi (Milano)
On some deformations of almost complex structures of 6-dimensional submanifolds in the octonions. (English) Zbl 1131.53026
Dimiev, Stancho (ed.) et al., Topics in contemporary differential geometry, complex analysis and mathematical physics. Proceedings of the 8th international workshop on complex structures and vector fields, Sofia, Bulgaria, August 21–26, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-790-1/hbk). 97-109 (2007).
Reviewer: Andrzej Piatkowski (Łódź)
SU(3)-structures on hypersurfaces of manifolds with \(G_2\)-structure. (English) Zbl 1127.53022
Reviewer: T. Okubo (Victoria)
Almost Hermitian structures on six-dimensional oriented submanifolds of the algebra of octonions. (Russian. English summary) Zbl 1338.53080
On the existence of 3-dimensional invariant submanifolds of \(S^6\). (English) Zbl 1098.53049
Matsushita, Yasuo (ed.) et al., Topics in almost Hermitian geometry and related fields. Proceedings in honor of Prof. K. Sekigawa’s 60th birthday, Niigata, Japan, November 1–3, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-417-9/hbk). 186-189 (2005).
Calibrated subbundles in noncompact manifolds of special holonomy. (English) Zbl 1093.53054
Reviewer: Neculai Papaghiuc (Iaşi)
The nullity of a compact minimal hypersurface in a compact symmetric space of rank one. (English) Zbl 1076.53070
Reviewer: Ricardo Sa Earp (Rio de Janeiro)
MSC:
53C42
Sasakian hypersurfaces of six-dimensional Hermitian manifolds of the Cayley algebra. (English. Russian original) Zbl 1079.53103
Sb. Math. 194, No. 8, 1125-1136 (2003); translation from Mat. Sb. 194, No. 8, 13-24 (2003).
Reviewer: Adrian Sandovici (Groningen)
On six-dimensional \(G2\)-submanifolds of the Cayley algebra. (English. Russian original) Zbl 1146.17301
Math. Notes 74, No. 3, 311-315 (2003); translation from Mat. Zametki 74, No. 3, 323-328 (2003).
MSC:
17A35
Totally real surfaces of the Cayley projective plane with parallel mean curvature vector. (English) Zbl 1048.53044
Reviewer: Jean-Marc Schlenker (Toulouse)
The type number of six-dimensional symmetric Hermitian submanifolds of Cayley algebra. (English) Zbl 1081.53517
Shelekhov, A. (ed.), Webs and quasigroups, 2002. Tver: Tver State University (ISBN 5-7609-0221-0). 85-91 (2002).
Reviewer: A. M. Shelekhov (Tver’)
Hermitian geometry of 6-dimensional submanifolds of the Cayley algebra. (English. Russian original) Zbl 1085.53042
Sb. Math. 193, No. 5, 635-648 (2002); translation from Mat. Sb. 193, No. 5, 3-16 (2002).
Reviewer: Martin Chuaqui (Santiago de Chile)
The \(U\)-cosymplectic hypersurfaces axiom and sixdimensional Hermitian submanifolds of the octave algebra. (Russian. English summary) Zbl 1066.53116
Reviewer: Vladislav V. Goldberg (Livingston)
Six-dimensional Hermitian submanifolds of Cayley algebra and \(u\)-Sasakian hypersurfaces axiom. (English) Zbl 1047.53042
Reviewer: Aurel Bejancu (Iaşi)
Two theorems on cosymplectic hypersurfaces in 6-dimensional Hermitian submanifolds of Cayley algebra. (English. Russian original) Zbl 1040.53036
Russ. Math. 46, No. 1, 7-10 (2002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 1, 9-12 (2002).
Reviewer: Willy Sarlet (Gent)
Characterization of totally geodesic Kähler immersions. (English) Zbl 1028.53017
Reviewer: Robert A.Wolak (Kraków)
On 4-dimensional CR-submanifolds of a 6-dimensional sphere. (English) Zbl 1029.53066
Fukaya, Kenji (ed.) et al., Minimal surfaces, geometric analysis and symplectic geometry. Based on the lectures of the workshop and conference, Johns Hopkins University, Baltimore, MD, USA, March 16-21, 1999. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 34, 143-154 (2002).
Reviewer: Mircea Crâşmăreanu (Iaşi)
Kähler surfaces immersed into the Cayley projective plane. (Chinese. English summary) Zbl 1002.53048
Reviewer: Liu Hui-Li (Shenyang)
On 6-dimensional Hermitian submanifolds of the Cayley algebra. (Russian. English summary) Zbl 1064.53013
Reviewer: Vladislav V. Goldberg (Livingston)
Positively curved, totally complex submanifolds in the Cayley projective plane. (English) Zbl 0945.53034
Reviewer: Liviu Ornea (Bucureşti)
Totally complex submanifolds of the Cayley projective plane. (English) Zbl 0935.53027
Reviewer: C.-L.Bejan (Iaşi)
MSC:
53C40
Totally complex submanifolds in \(CaP^2\). (English) Zbl 0902.53039
Reviewer: Jürgen Berndt (Hull)
On a holomorphic bisectional curvature of 6-dimensional Hermitian submanifolds of Cayley’s algebra. (Russian. English summary) Zbl 0888.53037
Reviewer: V.V.Goldberg (Newark/New Jersey)
Extrinsic shape of circles and the standard imbedding of a Cayley projective plane. (English) Zbl 0891.53035
Reviewer: B.-Y.Chen (East Lansing)
Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds. (English) Zbl 0925.14009
Stability of geodesic spheres. (English) Zbl 0944.53032
Dillen, F. (ed.) et al., Geometry and topology of submanifolds, VIII. Proceedings of the international meeting on geometry of submanifolds, Brussels, Belgium, July 13-14, 1995 and Nordfjordeid, Norway, July 18-August 7, 1995. Singapore: World Scientific. 320-324 (1996).
Lagrangian submanifolds of \(S^6(1)\). (English) Zbl 0936.53050
Dillen, F. (ed.) et al., Geometry and topology of submanifolds, VIII. Proceedings of the international meeting on geometry of submanifolds, Brussels, Belgium, July 13-14, 1995 and Nordfjordeid, Norway, July 18-August 7, 1995. Singapore: World Scientific. 138-144 (1996).
Fullness and scalar curvature of the totally real submanifolds in \(S^6(1)\). (English) Zbl 0978.53506
Reviewer: Jürgen Berndt (Hull)
Oriented \(6\)-dimensional submanifolds in the octonians. (English) Zbl 0842.53036
Sekigawa, Kouei (ed.) et al., Proceedings of the international workshop on almost complex structures, Sofia, Bulgaria, August 20-25, 1992. Singapore: World Scientific. 176-184 (1994).
Reviewer: L.A.Cordero (Santiago de Compostela)
The Hermitian geometry of the 6-dimensional submanifolds of a Cayley algebra. (English. Russian original) Zbl 0855.53027
Russ. Math. Surv. 49, No. 1, 223-224 (1994); translation from Usp. Mat. Nauk 49, No. 1(295), 205-206 (1994).
Reviewer: M.Malakhal’tsev (Kazan’)
On para-Kählerianity of six-dimensional Hermitian submanifolds of Cayley algebra. (English) Zbl 0896.53044
Shelekhov, A. (ed.), Webs and quasigroups. Tver’: Tverskoj Gosudarstvennyj Universitet. 81-83 (1994).
Reviewer: V.V.Goldberg (Newark/New Jersey)
Hermitian geometry of six-dimensional symmetric submanifolds of Cayley algebra. (English. Russian original) Zbl 0888.53040
Mosc. Univ. Math. Bull. 49, No. 3, 4-9 (1994); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 3, 6-13 (1994).
Reviewer: Anna Fino (Torino)
A Sasakian structure on a 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. (English) Zbl 0753.53032
Reviewer: J.Berndt (Köln)
Totally real submanifolds in a 6-sphere. (English) Zbl 0754.53041
Reviewer: J.Berndt (Köln)
On the three-dimensional CR-submanifolds of the six-dimensional sphere. (English) Zbl 0748.53032
Reviewer: Aurel Bejancu (Iaşi)
On certain isometric representations for multidimensional spaces of constant curvature. (English) Zbl 0752.53037
Reviewer: T.Okubo (Victoria)
Generalized Cayley surfaces. (English) Zbl 0746.53008
Global differential geometry and global analysis, Proc. Conf., Berlin/Ger. 1990, Lect. Notes Math. 1481, 36-47 (1991).
Reviewer: U.Pinkall (Berlin)
Submanifolds of the Cayley projective plane with bounded second fundamental form. (English) Zbl 0698.53036
Reviewer: J.Berndt
Submanifolds in hyper-Kähler geometry. (English) Zbl 0666.53032
Reviewer: J.Berndt
On almost complex surfaces of the nearly Kaehler 6-sphere. II. (English) Zbl 0677.53063
Reviewer: L.Verstraelen
MSC:
53C40
On instability of Yang-Mills connections. (English) Zbl 0634.53022
Reviewer: J.P.Bourguignon
Homogeneous totally real submanifolds of \(S^ 6\). (English) Zbl 0577.53042
Reviewer: T.Ochiai
MSC:
53C40
Zur lokalen Differentialgeometrie der Hyperflächen in Cayley/Klein- Räumen. (German) Zbl 0549.53010
Fakultät für Mathematik und Informatik der Technischen Universität München. 257 S. (1984).
Calibrated geometries. (English) Zbl 0584.53021
Cayley systems of Hermitian structures. (English) Zbl 0512.53040
Differential geometry, Budapest 1979, Colloq. Math. Soc. Janos Bolyai 31, 295-309 (1982).
Stability of almost Hermitian structures induced by 3-vector products on six-dimensional submanifolds of the Cayley algebra. (Russian) Zbl 0508.53045
Filter Results by …
Document Type
- Journal Articles (68)
- Collection Articles (12)
- Books (1)
all
top 5
Author
- Banaru, Mikhail Borisovich (18)
- Banaru, Galina Anatol’evna (6)
- Kirichenko, Vadim Fëdorovich (5)
- Liu, Ximin (5)
- Dillen, Franki (4)
- Karigiannis, Spiro (4)
- Hashimoto, Hideya (3)
- Mashimo, Katsuya (3)
- Vrancken, Luc (3)
- Adachi, Toshiaki (2)
- Bryant, Robert L. (2)
- Deshmukh, Sharief (2)
- Harvey, Reese (2)
- Li, Cece (2)
- Maeda, Sadahiro (2)
- Moore, Kim (2)
- Verstraelen, Leopold C. A. (2)
- Zhang, Dong (2)
- Becker, Katrin (1)
- Becker, Melanie (1)
- Cheng, Da Rong (1)
- Coulton, Patrick (1)
- da Silva, Luiz Carlos Barbosa (1)
- Daurtseva, Nataliya Alexandrovna (1)
- El Hadi, Kamal (1)
- Fox, Daniel (1)
- Gamara, Najoua (1)
- Glazebrook, James F. (1)
- Gotoh, Tohru (1)
- Hu, Zejun (1)
- Kanemaki, Shoji (1)
- Kawai, Kotaro (1)
- Kelleci, Alev (1)
- Kim, Sinhwi (1)
- Kobayashi, Shoshichi (1)
- Kovalev, Alexei G. (1)
- Kryński, Wojciech (1)
- Landsberg, Joseph Montague (1)
- Lawson, Herbert Blaine jun. (1)
- Leung, Nat Chun-Ho (1)
- Li, Xingxiao (1)
- Macias-Virgós, Enrique (1)
- Madnick, Jesse (1)
- Makhmali, Omid (1)
- Martín Cabrera, Francisco (1)
- Martín-Merchán, Lucía (1)
- Min-Oo, Maung (1)
- Morrison, David R. (1)
- Murphy, Thomas (1)
- Nikolayevsky, Yuri (1)
- Ogiue, Koichi (1)
- Ohnita, Yoshihiro (1)
- Ooguri, Hirosi (1)
- Opozda, Barbara (1)
- Oz, Yaron (1)
- Park, Jeonghyeong (1)
- Pereira-Sáez, María José (1)
- Ramirez-Luna, Alejandra (1)
- Ramis, Çağla (1)
- Riahi, Moncef (1)
- Rivertz, Hans Jakob (1)
- Sekigawa, Kouei (1)
- Su, Weihong (1)
- Suizu, Kaoru (1)
- Takeuchi, Masaru (1)
- Tanabe, Hiromasa (1)
- Tanré, Daniel (1)
- Tarakanov, A. N. (1)
- Tomter, Per (1)
- Trinca, Federico (1)
- Uljarević, Igor (1)
- Vogel, Hermann (1)
- Yang, Xuan (1)
- Yayli, Yusuf (1)
- Yin, Zheng (1)
all
top 5
Serial
- Differ. Geom. Mnogoobr. Figur (8)
- Hokkaido Math. J. (3)
- J. Geom. Anal. (3)
- Russ. Math. Surv. (2)
- Kodai Math. J. (2)
- Math. Z. (2)
- Tsukuba J. Math. (2)
- Ann. Global Anal. Geom. (2)
- Russ. Math. (2)
- Sb. Math. (2)
- Asian J. Math. (2)
- Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. (2)
- J. Math. Anal. Appl. (1)
- Math. Notes (1)
- Mosc. Univ. Math. Bull. (1)
- Nucl. Phys., B (1)
- Rep. Math. Phys. (1)
- Usp. Mat. Nauk (1)
- Acta Math. (1)
- Ann. Mat. Pura Appl. (4) (1)
- Compos. Math. (1)
- Geom. Dedicata (1)
- Glasg. Math. J. (1)
- Indiana Univ. Math. J. (1)
- Int. J. Math. Math. Sci. (1)
- J. Differ. Geom. (1)
- Mich. Math. J. (1)
- Monatsh. Math. (1)
- Proc. Am. Math. Soc. (1)
- Proc. Edinb. Math. Soc., II. Ser. (1)
- Result. Math. (1)
- Sib. Math. J. (1)
- Southeast Asian Bull. Math. (1)
- Bull. Korean Math. Soc. (1)
- Note Mat. (1)
- Northeast. Math. J. (1)
- J. Am. Math. Soc. (1)
- Zb. Rad., Prir.-Mat. Fak., Univ. Kragujevcu (1)
- Differ. Geom. Appl. (1)
- Panam. Math. J. (1)
- Commun. Anal. Geom. (1)
- Ukr. Geom. Sb. (1)
- Adv. Appl. Clifford Algebr. (1)
- Math. Res. Lett. (1)
- Bul. Acad. Științe Repub. Mold., Mat. (1)
- Pure Appl. Math. (1)
- Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. (1)
- Adv. Pure Appl. Math. (1)
all
top 5
Year of Publication
- 2024 (1)
- 2023 (2)
- 2022 (1)
- 2021 (4)
- 2020 (4)
- 2019 (2)
- 2017 (2)
- 2016 (1)
- 2015 (2)
- 2014 (2)
- 2013 (1)
- 2012 (3)
- 2011 (2)
- 2008 (1)
- 2007 (1)
- 2006 (1)
- 2005 (3)
- 2004 (1)
- 2003 (3)
- 2002 (7)
- 2001 (2)
- 2000 (2)
- 1999 (2)
- 1998 (3)
- 1997 (2)
- 1996 (4)
- 1994 (4)
- 1992 (1)
- 1991 (4)
- 1990 (1)
- 1989 (1)
- 1987 (2)
- 1986 (1)
- 1985 (1)
- 1984 (1)
- 1982 (4)
- 1980 (2)
