Results 1 to 10 of about 554 (51)

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

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

Inextendibility of spacetimes and Lorentzian length spaces. [PDF]

Ann Glob Anal Geom (Dordr), 2019
Grant JDE, Kunzinger M, Sämann C.
europepmc   +1 more source

Gauge Theory on Projective Surfaces and Anti-self-dual Einstein Metrics in Dimension Four. [PDF]

J Geom Anal, 2018
Dunajski M, Mettler T.
europepmc   +1 more source

Lorentzian length spaces. [PDF]

Ann Glob Anal Geom (Dordr), 2018
Kunzinger M, Sämann C.
europepmc   +1 more source