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On geodesic mappings of symmetric pairs
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 The paper treats properties of pseudo-Riemannian spaces admitting non-trivial geodesic mappings. A symmetric pair of pseudo-Riemannian spaces is a pair of spaces with coinciding values of covariant derivatives for their Riemann tensors. It is proved that
Volodymyr Kiosak +2 more
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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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Riemannian manifolds with a semi-symmetric metric connection satisfying some semisymmetry conditions; pp. 210–216 [PDF]
Proceedings of the Estonian Academy of Sciences, 2008 We study Riemannian manifolds M admitting a semi-symmetric metric connection â¦
Cengizhan Murathan, Cihan Özgür
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Fiber-Preserving Conformal Vector Field of Frame Bundles with Natural Riemannian Metric [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 We consider the bundle of all oriented orthonormal frames over an orientable Remannian manifold. This bundle has a natural Riemannian metric which is defined by the Riemannian connection of the base manifold.
M.T.K. Abbassi , N. Amri
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Special semi-reducible pseudo-Riemannian spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 The paper contains necessary conditions allowing to reduce matrix tensors of pseudo-Riemannian spaces to special forms called semi-reducible, under assumption that the tensor defining tensor characteristic of semireducibility spaces, is idempotent.
Юлія Степанівна Федченко +1 more
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The Quaternionic Hardy Space and the Geometry of the Unit Ball
Bruno Pini Mathematical Analysis Seminar, 2015 The quaternionic Hardy space of slice regular functions H2(B) is a reproducing kernel Hilbert space. In this note we see how this property can be exploited to construct a Riemannian metric on the quaternionic unit ball B and we study the geometry arising
Giulia Sarfatti
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Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric
Mathematics, 2022 This article introduces the concept of geodesic mappings of manifolds with idempotent pseudo-connections. The basic equations of canonical geodesic mappings of manifolds with completely idempotent pseudo-connectivity and semi-Riemannian manifolds with a ...
Igor G. Shandra, Josef Mikeš
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CoRR, 2012 We propose a solution to the problem of estimating a Riemannian metric associated with a given differentiable manifold. The metric learning problem is based on minimizing the relative volume of a given set of points. We derive the details for a family of metrics on the multinomial simplex.
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International Journal of Mathematics and Mathematical Sciences, 2002 We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.
Hobum Kim
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Approximating topological metrics by Riemannian metrics [PDF]
Proceedings of the American Mathematical Society, 1995 We study the relation between (topological) inner metrics and Riemannian metrics on smoothable manifolds. We show that inner metrics on smoothable manifolds can be approximated by Riemannian metrics. More generally, if
Ferry, Steven C., Okun, Boris L.
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