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53C50 Lorentz manifolds, manifolds with indefinite metrics (48 articles)

• Barboza, Weiller F. C.; de Lima, Henrique F.; Velásquez, Marco A. L.: Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 1, pp. 39-61
• de Lima, Henrique Fernandes: A note on the nonexistence of spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form. (English). Archivum Mathematicum, vol. 58 (2022), issue 3, pp. 169-175
• Fontanals, Cristina Draper: Homogeneous Einstein manifolds based on symplectic triple systems. (English). Communications in Mathematics, vol. 28 (2020), issue 2, pp. 139-154
• Liu, Jiancheng; Mi, Rong: New estimates for the first eigenvalue of the Jacobi operator on closed hypersurfaces in Riemannian space forms. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 3, pp. 881-890
• Nasehi, Mehri: On the geometrical properties of Heisenberg groups. (English). Archivum Mathematicum, vol. 56 (2020), issue 1, pp. 11-19
• Haji-Badali, Ali; Zaeim, Amirhesam: Semi-symmetric four dimensional neutral Lie groups. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 2, pp. 393-410
• Jin, Dae Ho; Lee, Jae Won: Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature. (English). Communications in Mathematics, vol. 27 (2019), issue 1, pp. 1-12
• Chao, Xiaoli; Lv, Yusha: $L^p$ harmonic $1$-form on submanifold with weighted Poincaré inequality. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 1, pp. 195-217
• Nasehi, Mehri; Aghasi, Mansour: On the geometry of some solvable extensions of the Heisenberg group. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 3, pp. 723-740
• Bejan, Cornelia-Livia; Eken, Şemsi: A characterization of the Riemann extension in terms of harmonicity. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 197-206
• de Lima, Eudes L.; de Lima, Henrique F.; Lima, Eraldo A. Jr.; Medeiros, Adriano A.: Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 2, pp. 183-196
• Manev, Hristo M.: Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 59-71
• Etayo, Fernando; Santamaría, Rafael: Distinguished connections on $(J^{2}=\pm 1)$-metric manifolds. (English). Archivum Mathematicum, vol. 52 (2016), issue 3, pp. 159-203
• Mallick, Sahanous; De, Uday Chand: On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 111-127
• Aquino, Cícero P.; de Lima, Henrique F.: New characterizations of linear Weingarten hypersurfaces immersed in the hyperbolic space. (English). Archivum Mathematicum, vol. 51 (2015), issue 4, pp. 201-209
• Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L.: On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 4, pp. 515-529
• Guediri, Mohammed; Bin-Asfour, Mona: Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups. (English). Archivum Mathematicum, vol. 50 (2014), issue 3, pp. 171-192
• Pravdová, Alena: Algebraic classification of the Weyl tensor. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 224-235
• Lee, Hyunjin; Kim, Seonhui; Suh, Young Jin: Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 3, pp. 849-861
• Dida, H. M.; Ikemakhen, A.: A class of metrics on tangent bundles of pseudo-Riemannian manifolds. (English). Archivum Mathematicum, vol. 47 (2011), issue 4, pp. 293-308
• de Lima, H. F.; Velásquez, M. A.: A new characterization of $r$-stable hypersurfaces in space forms. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 119-131
• Calvaruso, Giovanni: Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 119-134
• Ali, Ahmad T.; López, Rafael: Timelike $B_2$-slant helices in Minkowski space $\operatorname{E}_1^4$. (English). Archivum Mathematicum, vol. 46 (2010), issue 1, pp. 39-46
• Wei, Guoxin; Liu, Qiuli; Suh, Young Jin: Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_1^{n+1}(-1)$. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 343-351
• Yücesan, Ahmet; Ayyildiz, Nihat: Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 77-88
• Bezvitnaya, Natalia I.: Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$. (English). Archivum Mathematicum, vol. 44 (2008), issue 5, pp. 341-352
• Wu, Bing-Ye: On the first eigenvalue of spacelike hypersurfaces in Lorentzian space. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 233-238
• Gilkey, P.; Nikčević, S.: Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [99]-110
• Galaev, Anton S.: Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [87]-97
• Leitner, Felipe: Conformal Killing forms with normalisation condition. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 24th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2005. pp. [279]-292
• Liu, Ximin; Junlei, Deng: Stable space-like hypersurfaces in the de Sitter space. (English). Archivum Mathematicum, vol. 40 (2004), issue 2, pp. 111-117
• Gilkey, P.; Nikčević, S.: Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [99]-105
• Kobayashi, Toshiyuki: Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. (English). In: Bureš, Jarolím (ed.): Proceedings of the 22nd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2003. pp. [15]-40
• Leistner, Thomas: Lorentzian manifolds with special holonomy and parallel spinors. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 21st Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2002. pp. [131]-159
• Janyška, Josef: Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 143-160
• Araujo, José; Keilhauer, Guillermo: Natural tensor fields of type $(0,2)$ on the tangent and cotangent bundles of a semi-Riemannian manifold. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. (7)-16
• Ferrández, Angel; Lucas, Pascual: On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 699-704
• Bektaṣ, M.; Ergüt, Mahmut: Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 38 (1999), issue 1, pp. 17-24
• Alekseevsky, Dmitry; Blažić, Novica; Bokan, Neda; Rakić, Zoran: Self-duality and pointwise Osserman manifolds. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 193-201
• Fecko, Marián: Space-time decompositions via differential forms. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 17th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1998. pp. [33]-43
• Cordero, Luis A.; Parker, Phillip E.: Examples of sectional curvature with prescribed symmetry on $3$-manifolds. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 7-20
• Janyška, Josef: Natural symplectic structures on the tangent bundle of a space-time. (English). In: Slovák, Jan (ed.): Proceedings of the 15th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [153]-171
• Gadea, P. M.; Amilibia, A. Montesinos: Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 741-756
• García-Río, Eduardo; Vázquez-Abal, M. Elena: Geodesic reflections in semi-Riemannian geometry. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 4, pp. 583-597
• Neeb, Karl-Hermann: Ordered symmetric spaces. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1993. pp. [21]-26
• Gądek, B.; Heberlein, K.; Jakubowicz, A.: On certain Einstein space-time. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 2, pp. 297-301
• Major, Imre: A survey on the Hawking – Penrose theory. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. [215]-231
• Rosca, Radu; Vanhecke, Lieven: Variétés spatiales de codimension deux immergées dans un espace de Minkowski muni d'une connexion principale. (French) [Space-like submanifolds of codimension two embedded in a Minkowski space]. Czechoslovak Mathematical Journal, vol. 27 (1977), issue 3, pp. 343-355