Results 1 to 10 of about 436 (165)
On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold
Axioms, 2023 When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces.
Mohamed Tahar Kadaoui Abbassi +2 more
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Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]
HeliyonThis paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman +3 more
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Closed conformal vector fields on pseudo-Riemannian manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We give here a geometric proof of the existence of certain local coordinates on a pseudo-Riemannian manifold admitting a closed conformal vector field.
D. A. Catalano
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A New Approach on Helices in Pseudo-Riemannian Manifolds [PDF]
Abstract and Applied Analysis, 2014 A proper curve α in the n-dimensional pseudo-Riemannian manifold (M,g) is called a Vn-slant helix if the function g(Vn,X) is a nonzero constant along α, where X is a parallel vector field along α and Vn is nth Frenet frame.
Evren Zıplar +2 more
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PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS [PDF]
International Journal of Geometric Methods in Modern Physics, 2007 We exhibit several families of Jacobi–Videv pseudo-Riemannian manifolds which are not Einstein. We also exhibit Jacobi–Videv algebraic curvature tensors where the Ricci operator defines an almost complex structure.
Gilkey, P., Nikčević, S.
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Mathematics, 2023 Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
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On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. II [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of the geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Mozhey, Natal’ya Pavlovna
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Hyper generalized pseudo Q -symmetric semi-Riemannian manifolds
Cubo, 2021 The object of the present paper is to study the properties of a hyper generalized pseudo Q-symmetric semi-Riemannian manifold, proving that under certain assumptions, it is a perfect fluid spacetime.
Adara M. Blaga +2 more
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On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Natal’ya Pavlovna Mozhey
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Curvature measures of pseudo-Riemannian manifolds
Journal für die reine und angewandte Mathematik (Crelles Journal), 2022 Abstract The Weyl principle is extended from the Riemannian to the pseudo-Riemannian setting, and subsequently to manifolds equipped with generic symmetric ( 0 ,
Bernig, Andreas +2 more
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