Results 11 to 20 of about 51 (47)

Pseudoinversion of degenerate metrics

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 55, Page 3479-3501, 2003., 2003
Let (M, g) be a smooth manifold M endowed with a metric g. A large class of differential operators in differential geometry is intrinsically defined by means of the dual metric g∗ on the dual bundle TM∗ of 1‐forms on M. If the metric g is (semi)‐Riemannian, the metric g∗ is just the inverse of g. This paper studies the definition of the above‐mentioned
C. Atindogbe, J.-P. Ezin, Joël Tossa
wiley   +1 more source

The nonexistence of rank 4 IP tensors in signature (1, 3)

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 259-269, 2002., 2002
Let V be a real vector space of dimension 4 with a nondegenerate symmetric bilinear form of signature (1, 3). We show that there exists no algebraic curvature tensor R on V so that its associated skew‐symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2‐planes in V.
Kelly Jeanne Pearson, Tan Zhang
wiley   +1 more source

On the vertical bundle of a pseudo‐Finsler manifold

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 637-642, 1999., 1999
We define the Liouville distribution on the tangent bundle of a pseudo‐Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Aurel Bejancu, Hani Reda Farran
wiley   +1 more source

Symmetry and pseudosymmetry properties with Ricci soliton of the Reissner-Nordström-de Sitter spacetime

Nuclear Physics B
The primary objective of the article is to investigate the symmetry and pseudosymmetry properties of the Reissner-Nordström-de Sitter (briefly, RNdS) spacetime. The secondary aim of the paper is to explore the notion of Ricci solitons in RNdS spacetimes.
Absos Ali Shaikh, Kamiruzzaman
doaj   +1 more source

Pseudosymmetry and curvature inheritance of the interior black hole spacetime

Physics Letters B
The notion of pseudosymmetry by Adamów and Deszcz [1] generalizes the concept of local symmetry and semisymmetry, and it serves as a model of various spacetimes. The classification of pseudosymmetric spacetimes has been studied in [2].
Absos Ali Shaikh, Foued Aloui, Kamiruzzaman, Ibrahim Al-Dayel   +3 more
doaj   +1 more source

Hyperbolic framed surfaces in hyperbolic 3-space

Demonstratio Mathematica
We define a hyperbolic framed surface with a moving frame in hyperbolic 3-space. By the existence and uniqueness theorems for hyperbolic framed surfaces, we know that the hyperbolic framed surface is uniquely determined by basic invariants up to a ...
Zhou Anjie, Pei Donghe
doaj   +1 more source

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

Ann Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

Ann Mat Pura Appl, 2023
Branding V, Montaldo S, Oniciuc C, Ratto A.   +3 more
europepmc   +1 more source

The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]

Jahresber Dtsch Math Ver, 2023
Steinbauer R.
europepmc   +1 more source

Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds. [PDF]

J Lond Math Soc, 2023
Beran T, Sämann C.
europepmc   +1 more source