Found 78 Documents (Results 1–78)
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model. (English) Zbl 1539.35024
Reviewer: Giovany Malcher Figueiredo (Brasília)
On generalized biconservative spacelike surfaces in Lorentz space forms. (English) Zbl 1522.53057
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 133, 14 p. (2023).
Reviewer: Friedrich Manhart (Wien)
Spacelike translating solitons of mean curvature flow with forcing term in Lorentzian product spaces. (English) Zbl 1517.53079
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 114, 16 p. (2023).
Stability of spacelike surfaces with constant mean curvature in Lorentzian manifolds. (English) Zbl 1512.53066
Lorentzian area and volume estimates for integral mean curvature bounds. (English) Zbl 1514.53103
Albujer, Alma L. (ed.) et al., Developments in Lorentzian geometry. Selected papers based on the presentations at the 10th international meeting on Lorentzian geometry, GeLoCor 2021, Cordoba, Spain, February 1–5, 2021. Cham: Springer. Springer Proc. Math. Stat. 389, 105-128 (2022).
Reviewer: Adrian Sandovici (Piatra Neamt)
Spacelike translating solitons in Lorentzian product spaces: nonexistence, Calabi-Bernstein type results and examples. (English) Zbl 1507.53089
Reviewer: Anton Galaev (Hradec Králové)
Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector. (English) Zbl 1494.53020
Abh. Math. Semin. Univ. Hamb. 92, No. 1, 105-123 (2022); correction ibid. 93, No. 2, 163-166 (2023).
Regularity of variational maximal surfaces. (English) Zbl 1464.53088
Bartnik, Robert A., Selected works. Edited by Piotr T. Chruściel, James A. Isenberg and Shing-Tung Yau. Somerville, MA: International Press. 147-183 (2021).
Existence of maximal surfaces in asymptotically flat spacetimes. (English) Zbl 1464.53080
Bartnik, Robert A., Selected works. Edited by Piotr T. Chruściel, James A. Isenberg and Shing-Tung Yau. Somerville, MA: International Press. 41-61 (2021).
Pseudo-hyperbolic Gauss maps of Lorentzian surfaces in anti-de Sitter space. (English) Zbl 1523.53012
Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularities. (English) Zbl 1437.53008
Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi-Bernstein-type problems. (English) Zbl 1439.53060
Lorentzian stationary surfaces and null curves in 4-dimensional space forms of index 2. (English) Zbl 1438.53023
Lorentzian manifolds with special holonomy – constructions and global properties. (English) Zbl 1417.83004
Brüning, Jochen (ed.) et al., Space – time – matter. Analytic and geometric structures. Berlin: De Gruyter. 51-68 (2018).
Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures. (English. Russian original) Zbl 1402.53026
Dokl. Math. 97, No. 3, 207-210 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 1, 16-20 (2018).
Characterizations of complete CMC spacelike hypersurfaces satisfying an Okumura type inequality. (English) Zbl 1431.53061
On the scarcity of non-totally geodesic complete spacelike hypersurfaces of constant mean curvature in a Lie group with bi-invariant Lorentzian metric. (English) Zbl 1425.53073
Uniqueness of complete spacelike hypersurface in Lorentzian warped products. (English) Zbl 1399.53094
Reviewer: Vladimir Yu. Rovenskij (Nesher)
Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifolds. (English) Zbl 1433.53108
Minimal surfaces in Lorentzian Heisenberg group and Damek-Ricci spaces via the Weierstrass representation. (English) Zbl 1375.53075
Characterizations of umbilic points of isometric immersions in Riemannian and Lorentzian manifolds. (English) Zbl 1357.53065
On the stability of \(f\)-maximal spacelike hypersurfaces in weighted generalized Robertson-Walker spacetimes. (English) Zbl 1373.53087
Reviewer: Gabriel Teodor Pripoae (Bucureşti)
On the geometry of trapped and marginally trapped submanifolds in Lorentzian space forms. (English) Zbl 1351.53070
Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature. (English) Zbl 1356.53064
Reviewer: Viviana del Barco (Rosario)
The Björling problem for minimal surfaces in a Lorentzian three-dimensional Lie group. (English) Zbl 1338.53087
Reviewer: Vladimir Tkachev (Linköping)
Maximum principles and geometric applications. (English) Zbl 1346.58001
Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-24335-1/hbk; 978-3-319-24337-5/ebook). xxvii, 570 p. (2016).
Reviewer: Alina Stancu (Montréal)
Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. (English) Zbl 1328.53066
Codimension two marginally trapped submanifolds in Robertson-Walker spacetimes. (English) Zbl 1307.53044
Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space. (English) Zbl 1306.53056
Reviewer: Ivko Dimitric (Lemont Furnace)
Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems. (English) Zbl 1290.53061
Null scrolls as solutions of a sigma model. (English) Zbl 1244.53064
Reviewer: Costache Apreutesei (Iaşi)
On complete spacelike hypersurfaces with two distinct principal curvatures in a de Sitter space. (English) Zbl 1219.53060
Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces. (English) Zbl 1257.53091
Maximal surfaces in Lorentzian Heisenberg space. (English) Zbl 1216.53055
Reviewer: Weihuan Chen (Beijing)
Hypersurfaces with constant \(k\)-th mean curvature in a Lorentzian space form. (English) Zbl 1240.53101
Reviewer: Jan Vondra (Brno)
Classification of Lorentzian surfaces with parallel mean curvature vector in \({\mathbb E}^4_2\). (English) Zbl 1224.53034
Reviewer: Krishan Lal Duggal (Windsor)
Complete classification of Lorentz surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean space. (English) Zbl 1207.53067
Reviewer: Huafei Sun (Beijing)
Geometric analysis of Lorentzian distance function on spacelike hypersurfaces. (English) Zbl 1242.53087
Reviewer: Gabriel Teodor Pripoae (Bucureşti)
Classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces. (English) Zbl 1196.53015
Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces. (English) Zbl 1173.53025
Reviewer: Dimitrii V. Alekseevsky (Edinburgh)
Timelike surfaces with harmonic inverse mean curvature. (English) Zbl 1172.53015
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, 113-141 (2008).
Reviewer: Fortuné Massamba (Gaborone)
The scalar curvature flow in Lorentzian manifolds. (English) Zbl 1162.53050
Reviewer: Ivko Dimitric (Uniontown)
Examples and structure of CMC surfaces in some Riemannian and Lorentzian homogeneous spaces. (English) Zbl 1144.53075
Reviewer: Adela-Gabriela Mihai (Bucureşti)
On the stability of stationary surfaces in \(S^{4}_{1}\). (English) Zbl 1129.53040
Reviewer: Gabriel Teodor Pripoae (Bucureşti)
On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds. (English) Zbl 1097.53043
Hypersurfaces of prescribed scalar curvature in Lorentzian manifolds. (English) Zbl 1091.53039
Reviewer: Andrew Bucki (Edmond)
The free boundary problem for spacelike constant mean curvature hypersurfaces in Lorentzian space forms. (English) Zbl 1034.53072
del Olmo Martínez, Mariano A. (ed.) et al., Proceedings of the 8th fall workshop on geometry and physics, Medina del Campo, Spain, September 23–25, 1999. Madrid: Real Sociedad Matemática Española (ISBN 84-923818-4-1/pbk). Publ. R. Soc. Mat. Esp. 2, 253-262 (2001).
Reviewer: Cornelia-Livia Bejan (Iaşi)
Spacelike surfaces with harmonic inverse mean curvature. (English) Zbl 1018.53007
Reviewer: Jan L.Cieśliński (Białystok)
Remarks on a variational problem in Laguerre geometry. (English) Zbl 0961.53005
Reviewer: Lorenzo Nicolodi (Roma)
Existence of constant mean curvature hypersurfaces in asymptotically flat spacetimes. (English) Zbl 0943.53009
Reviewer: L.J.Alías (Murcia)
On complete maximal spacelike hypersurfaces in a Lorentzian manifold. (English) Zbl 0870.53048
Reviewer: L.J.Alías (Murcia)
Deformations of stationary surfaces. (English) Zbl 0891.53043
Reviewer: W.Kühnel (Stuttgart)
Flat maximal immersions. (English) Zbl 0863.53042
Reviewer: L.J.Alías (Murcia)
On complete space-like surfaces with constant mean curvature in a Lorentzian 3-space form. (English) Zbl 0732.53051
Reviewer: T.Ishihara (Tokushima)
The Bernstein problem for timelike surfaces. (English) Zbl 0716.53056
Reviewer: A.Romero Sarabia
Regularity of variational maximal surfaces. (English) Zbl 0667.53049
Reviewer: J.H.Eschenburg
On spacelike hypersurfaces with constant mean curvature in the de Sitter space. (English) Zbl 0611.53047
A note on spacelike hypersurfaces with prescribed mean curvature in a spatially closed globally static Lorentzian manifold. (English) Zbl 0658.53057
Reviewer: G.Pripoae
Wave surfaces. (English) Zbl 0596.53051
Reviewer: A.V.Borisov
On flat surfaces in \(S_1^3\) and \(H_1^3\). (English) Zbl 0485.53047
Manifolds and Lie groups, Pap. in Honor of Y. Matsushima, Prog. Math. 14, 71-108 (1981).
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