Four-dimensional pseudo-Riemannian g.o. spaces and manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.03.018
Abstract: Abstract A g.o. manifold is a homogeneous pseudo-Riemannian manifold whose geodesics are all homogeneous, that is, they are orbits of a one-parameter group of isometries. A g.o. space is a realization of a homogeneous pseudo-Riemannian… read more here.
Keywords: pseudo; dimensional pseudo; riemannian spaces; four dimensional ... See more keywords
On the problem of geodesic mappings and deformations of generalized Riemannian spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.02.069
Abstract: Abstract This paper is devoted to a study of geodesic mappings and infinitesimal geodesic deformations of generalized Riemannian spaces. While a geodesic mapping between two generalized Riemannian spaces any geodesic line of one space sends… read more here.
Keywords: geodesic mappings; riemannian spaces; deformations generalized; infinitesimal geodesic ... See more keywords
On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7070626
Abstract: We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces. We give new generalizations of symmetric spaces via Eisenhart’s generalized… read more here.
Keywords: eisenhart generalized; generalized riemannian; diffeomorphisms eisenhart; concircular diffeomorphisms ... See more keywords