Found 92 Documents (Results 1–92)
Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space. (English) Zbl 1507.53060
Reviewer: Martin Li (Hong Kong)
Discrete minimal nets with symmetries. (English) Zbl 1489.53012
Hoffmann, Tim (ed.) et al., Minimal surfaces: integrable systems and visualisation. M:iv workshops, 2016–19. Cham: Springer. Springer Proc. Math. Stat. 349, 35-50 (2021).
Reviewer: Ivan C. Sterling (St. Mary’s City)
Discrete mKdV equation via Darboux transformation. (English) Zbl 1477.53020
Reviewer: Ahmed Lesfari (El Jadida)
Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularities. (English) Zbl 1437.53008
Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space. (English) Zbl 1435.53046
Discrete channel surfaces. (English) Zbl 1437.53010
Reviewer: Dorin Andrica (Riyadh)
Polynomial conserved quantities of Lie applicable surfaces. (English) Zbl 1412.53021
Reviewer: Ivan C. Sterling (St. Mary’s City)
Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms. (English) Zbl 1431.53014
Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 383-410 (2018).
Reviewer: Marcos Craizer (Rio de Janeiro)
Discrete linear Weingarten surfaces. (English) Zbl 1411.53007
Reviewer: Victor Alexandrov (Novosibirsk)
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. (English) Zbl 1375.53016
Reviewer: Erich Hoy (Friedberg)
Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space. (English) Zbl 1364.53012
Semi-discrete isothermic surfaces. (English) Zbl 1347.53012
Reviewer: Ivan C. Sterling (St. Mary’s City)
Erratum to: “Zero mean curvature surfaces in Lorentz-Minkowki 3-space which change type across a light-like line”. (English) Zbl 1465.53027
Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line. (English) Zbl 1319.53008
Osaka J. Math. 52, No. 1, 285-297 (2015); erratum ibid. 53, No. 1, 289-292 (2016).
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. (English) Zbl 1320.53017
Reviewer: Titus Petrila (Cluj-Napoca)
Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. (English) Zbl 1301.53056
Reviewer: Huafei Sun (Beijing)
Hyperbolic metrics on Riemann surfaces and space-like CMC-1 surfaces in de Sitter 3-space. (English) Zbl 1285.53045
Sánchez, Miguel (ed.) et al., Recent trends in Lorentzian geometry. Based on the presentations at the 6th international meeting on Lorentzian geometry, Granada, Spain, September 6–9, 2011. New York, NY: Springer (ISBN 978-1-4614-4896-9/hbk; 978-1-4614-4897-6/ebook). Springer Proceedings in Mathematics & Statistics 26, 1-47 (2013).
Reviewer: Isabel Salavessa (Lisboa)
Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids. (English) Zbl 1302.53014
MSC:
53A10
Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space. (English) Zbl 1277.53053
Reviewer: Isabel Salavessa (Lisboa)
Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line. (English. French summary) Zbl 1257.53090
Reviewer: Magdalena Daniela Toda (Lubbock)
Lie geometry of linear Weingarten surfaces. (English. French summary) Zbl 1252.53018
Corresponding constant mean curvature surfaces in hyperbolic and Euclidean 3-spaces. (English) Zbl 1285.53005
MSC:
53A10
Triviality of the dressing isotropy for a Smyth-type potential and nonclosing of the resulting CMC surfaces. (English) Zbl 1249.53008
Andrica, Dorin (ed.) et al., Geometry. Exploratory workshop on differential geometry and its applications, Iaşi, Romania, September 2–4, 2009. Cluj-Napoca: Cluj University Press (ISBN 978-973-595-235-8). 61-70 (2011).
CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere. (English) Zbl 1242.53070
Reviewer: Erich Hoy (Friedberg)
The \(tt^*\) structure of the quantum cohomology of \(\mathbb C P^1\) from the viewpoint of differential geometry. (English) Zbl 1210.53011
Reviewer: Magdalena Daniela Toda (Lubbock)
MSC:
53A10
Riemann surfaces, harmonic maps and visualization. Proceedings of the 16th Osaka City University International Academic Symposium, Osaka, Japan, December 15–20, 2008. (English) Zbl 1203.00026
OCAMI Studies 3. Osaka: Osaka Municipal Universities Press (ISBN 978-4-901409-69-8/hbk). i-xiv, 1-278, xv-xx. (2010).
Higher-genus mean curvature-one catenoids in hyperbolic and de Sitter 3-spaces. (English) Zbl 1207.53008
Reviewer: Erich Hoy (Friedberg)
Lie geometry of flat fronts in hyperbolic space. (English) Zbl 1201.53061
Reviewer: Wolfgang Kühnel (Stuttgart)
MSC:
53C40
Discrete constant mean curvature surfaces via conserved quantities. (English) Zbl 1206.37039
COE Lecture Note 25. Fukuoka: Kyushu University, Faculty of Mathematics, COE Program Math-for-Industry, Education and Research Hub. iii, 130. (2010).
Reviewer: Yurii G. Nikonorov (Volgodonsk)
Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods. (English) Zbl 1208.53065
Reviewer: Ivan C. Sterling (St. Mary’s City)
New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space. (English) Zbl 1186.53071
Reviewer: Charalampos Charitos (Athens)
Spacelike mean curvature one surfaces in de Sitter 3-space. (English) Zbl 1205.53064
Reviewer: Ana Pereira do Vale (Braga)
Constant mean curvature surfaces in Euclidean and Minkowski three-spaces. (English) Zbl 1183.53005
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 10th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–11, 2008. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-323-531-5/pbk). 133-142 (2009).
Reviewer: Ivan C. Sterling (St. Mary’s City)
Asymptotic behavior of flat surfaces in hyperbolic 3-space. (English) Zbl 1177.53059
Reviewer: Vasyl Gorkaviy (Kharkov)
A loop group formulation for constant curvature submanifolds of pseudo-Euclidean space. (English) Zbl 1171.37031
Reviewer: Ivan C. Sterling (St. Mary’s City)
Period problems for mean curvature one surfaces in \(H^3\) (with applications to surfaces of low total curvature). (English) Zbl 1171.53041
Guest, Martin (ed.) et al., Surveys on geometry and integrable systems. Based on the conference on integrable systems in differential geometry, Tokyo, Japan, July 17–21, 2000. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-46-4/hbk). Advanced Studies in Pure Mathematics 51, 347-399 (2008).
Reviewer: Erich Hoy (Friedberg)
The spectra of Jacobi operators for constant mean curvature tori of revolution in the 3-sphere. (English) Zbl 1152.58003
Delaunay ends of constant mean curvature surfaces. (English) Zbl 1144.53015
Reviewer: Bang-yen Chen (East Lansing)
MSC:
53A10
Discrete surfaces of constant mean curvature. arXiv:0804.2707
Preprint, arXiv:0804.2707 [math.DG] (2008).
Period problems for mean curvature one surfaces in \(H^3\) (with application to surfaces of low total curvature). arXiv:0805.3761
Preprint, arXiv:0805.3761 [math.DG] (2008).
Conserved quantities in the theory of discrete surfaces. (English) Zbl 1451.53016
Vrancken, L. (ed.), Symposium on the differential geometry of submanifolds, Valenciennes, France, July 3–7, 2007. Valenciennes: Université de Valenciennes; London: Lulu.com. 1-16 (2007).
Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms. (English) Zbl 1144.53017
Reviewer: Harold Parks (Corvallis)
MSC:
53A10
Flat fronts in hyperbolic 3-space and their caustics. (English) Zbl 1120.53036
Reviewer: Shen Yi-Bing (Hangzhou)
Simultaneous unitarizability of \(SL_n\mathbb{C}\)-valued maps,and costant mean curvature \(k\)-noid monodromy. (English) Zbl 1150.53021
Reviewer: Luc Vrancken (Valenciennes)
Loop Group Methods for Constant Mean Curvature Surfaces. arXiv:math/0602570
Preprint, arXiv:math/0602570 [math.DG] (2006).
Infinite periodic discrete minimal surfaces without self-intersections. (English) Zbl 1119.49033
Reviewer: Harold Parks (Corvallis)
Constructing mean curvature \(0\) surfaces in \(H^3\) with irregular ends. (English) Zbl 1100.53051
Hoffman, David (ed.), Global theory of minimal surfaces. Proceedings of the Clay Mathematics Institute 2001 summer school, Berkeley, CA, USA, June 25–July 27, 2001. Providence, RI: American Mathematical Society (AMS). Cambridge, MA: Clay Mathematics Institute (ISBN 0-8218-3587-4/pbk). Clay Mathematics Proceedings 2, 561-584 (2005).
Reviewer: Thomas Hasanis (Ioannina)
Singularities of flat fronts in hyperbolic space. (English) Zbl 1110.53044
Pac. J. Math. 221, No. 2, 303-351 (2005); addendum ibid. 294, No. 2, 505–509 (2018).
Reviewer: Alexander A. Borisenko (Khar’kov)
The first bifurcation point for Delaunay nodoids. (English) Zbl 1092.53010
Reviewer: Kaarin Riives (Tartu)
MSC:
53A10
Constant mean curvature surfaces of any positive genus. (English) Zbl 1082.53008
Reviewer: Manuel Ritoré (Granada)
MSC:
53A10
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. I. (English) Zbl 1088.53004
Reviewer: Alexander A. Borisenko (Khar’kov)
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II. (English) Zbl 1058.53008
Reviewer: F. Tomi (Heidelberg)
Constant mean curvature 1 surfaces with low total curvatures in hyperbolic 3-space. (English) Zbl 1035.53018
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 (ISBN 4-931469-18-3/hbk). Adv. Stud. Pure Math. 34, 245-253 (2002).
Reviewer: F. Tomi (Heidelberg)
Discrete spectrum and Weyl’s asymptotic formula for incomplete manifolds. (English) Zbl 1024.58015
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, 219-229 (2002).
Reviewer: Alberto Parmeggiani (Bologna)
Lower bounds for Morse index of constant mean curvature tori. (English) Zbl 1039.53014
Reviewer: Ivan C. Sterling (St. Mary’s City)
MSC:
53A10
Index growth of hypersurfaces with constant mean curvature. (English) Zbl 0998.53005
Reviewer: Cornelia-Livia Bejan (Iaşi)
Techniques for studying CMC 1 surfaces in hyperbolic three-space. (English) Zbl 1073.53076
Nishikawa, Seiki (ed.), Proceedings of the 5th Pacific Rim geometry conference, Tôhoku University, Sendai, Japan, July 25–July 28, 2000. Sendai: Tôhoku University. Tohoku Math. Publ. 20, 153-162 (2001).
Reviewer: Li Haizhong (Beijing)
Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space. (English) Zbl 1029.53015
Reviewer: K.Leichtweiß (Stuttgart)
Lower bounds for index of Wente tori. (English) Zbl 1023.53009
Reviewer: Erich Hoy (Friedberg)
MSC:
53A10
Discrete minimal helicoid. (English) Zbl 1163.53305
The Morse index of Wente tori. (English) Zbl 1030.53013
Reviewer: S.Stamatakis (Thessaloniki)
Discrete catenoid. (English) Zbl 1163.53300
Embedded, doubly periodic minimal surfaces. (English) Zbl 1031.53014
Reviewer: S.N.Pandey (Gorakhpur)
On embeddedness of area-minimizing disks, and an application to constructing complete minimal surfaces. (English) Zbl 0946.53005
Reviewer: W.Rossman (Kobe)
MSC:
53A10
Wente tori and Morse index. (English) Zbl 0977.53004
Reviewer: Ricardo Sa Earp (Rio de Janeiro)
Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications. (English) Zbl 0921.53030
Reviewer: Sung-Eun Koh (Seoul)
On the index of constant mean curvature 1 surfaces in hyperbolic space. (English) Zbl 0924.53040
MSC:
53C42
Minimal surfaces with planar boundary curves. (English) Zbl 0905.53007
Reviewer: H.Reckziegel (Köln)
MSC:
53A10
Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus. (English) Zbl 0913.53025
Reviewer: L.J.Alías (Murcia)
Minimal surfaces with catenoid ends. (English) Zbl 1147.53302
MSC:
53A10
Minimal surfaces in \(\mathbb{R}^ 3\) with dihedral symmetry. (English) Zbl 0834.53013
Reviewer: K.Polthier (Berlin)
New examples of minimal surfaces. Preliminary report. (English) Zbl 0911.53006
Kotake, Takeshi (ed.) et al., Geometry and global analysis. Report of the 1st MSJ (Mathematical Society of Japan) International Research Institute, Sendai, Japan, July 12–23, 1993. Sendai: Tôhoku Univ., Mathematical Institute, 369-377 (1993).
Reviewer: Weihuan Chen (Beijing)
MSC:
53A10
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