Results 51 to 60 of about 680 (80)

Geodesic Mappings and Einstein Spaces [PDF]

arXiv, 2012
In this paper we study fundamental properties of geodesic mappings with respect to the smoothness class of metrics. We show that geodesic mappings preserve the smoothness class of metrics. We study geodesic mappings of Einstein spaces.
arxiv  

Completeness of compact Locally symmetric Lorentz manifolds [PDF]

arXiv
We show that compact locally symmetric Lorentz manifolds are geodesically complete.
arxiv  

Three-dimensional conformally symmetric manifolds [PDF]

arXiv, 2013
The non-existence of non-trivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is obtained. Furthermore, the isometry classes are examined.
arxiv  

Constant Mean Curvature Foliations of $3$-Dimensional Twisted Product Spacetimes [PDF]

arXiv, 2013
For $2+1$ spacetime dimensions, we derive sufficient conditions for the twisting function in a twisted product spacetime, such that there is a global foliation by spacelike CMC surfaces.
arxiv  

Three-dimensional homogeneous generalized Ricci solitons [PDF]

arXiv, 2015
We study three-dimensional generalized Ricci solitons, both in Riemannian and Lorentzian settings. We shall determine their homogeneous models, classifying left-invariant generalized Ricci solitons on three-dimensional Lie groups.
arxiv  

Foliations of lightlike hypersurfaces and their physical interpretation

Open Mathematics, 2012
Duggal Krishan
doaj   +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

Curvature properties of φ-null Osserman Lorentzian S-manifolds

Open Mathematics, 2014
Brunetti Letizia, Caldarella Angelo
doaj   +1 more source

Lorentzian length spaces. [PDF]

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