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Inequalities on Isotropic Submanifolds in Pseudo-Riemannian Space Forms

International Electronic Journal of Geometry, 2023
Spacelike and timelike isotropic submanifolds of pseudo-Riemannian spaces have interesting properties, with important applications in Mathematics and Physics. The article presents inequalities for isotropic spacelike and timelike submanifolds of pseudo-Riemannian space forms and isotropic Lorentzian submanifolds are also considered.
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PSEUDO-RIEMANNIAN SYMMETRIC SPACES WITH A COMMUTATIVE HOLONOMY GROUP

Mathematics of the USSR-Sbornik, 1973
The simply connected pseudo-Riemannian symmetric spaces of signature (n – 1, 1) with a commutative holonomy group are classified and studied. Bibliography: 9 items.
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On special pseudo-Riemannian spaces

AIP Conference Proceedings, 2022
A. Kamienieva, O. Gudyreva, S. Bykova
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Biharmonic hypersurfaces in pseudo-Riemannian space forms

International Journal of Geometric Methods in Modern Physics, 2016
Let [Formula: see text] be a nondegenerate biharmonic pseudo-Riemannian hypersurface in a pseudo-Riemannian space form [Formula: see text] with constant sectional curvature [Formula: see text]. We show that [Formula: see text] has constant mean curvature provided that it has three distinct principal curvatures and the Weingarten operator can be ...
Yang, Dan, Fu, Yu
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Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space

Mathematical Notes of the Academy of Sciences of the USSR, 1971
It is proved that every pseudo-Riemannian manifold M (p, q) n with the Ck metric (3≤k≤∞) has an isometric Ck imbedding in the large in E (p′, q′) n(n+1)(3n+11)/2 , p′≥(n+1)2, q′≥(n+1)2.
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On stability of equilibria in a pseudo-Riemannian space

Russian Mathematical Surveys
The stability of equilibria is considered for systems whose kinetic energy is a pseudo-Riemannian metric on the configuration space. Equilibria are critical points of the potential energy. For a linear system with two degrees of freedom the stability diagram is plotted and the bifurcations of eigenvalues are indicated.
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Equiaffine Connections on Three-Dimensional Pseudo-Riemannian Spaces

Lobachevskii Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudo-Riemannian symmetric spaces

Memoirs of the American Mathematical Society, 1980
M. Cahen, M. Parker
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