Results 1 to 10 of about 531 (160)
Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]
Ann Mat Pura Appl, 2023 AbstractIn this paper, we shall assume that the ambient manifold is a pseudo-Riemannian space form $$N^{m+1}_t(c)$$ N t m + 1
Branding V +3 more
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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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On Thermodynamical Kluitenberg Theory in General Relativity [PDF]
EntropyIn this paper, we introduce Kluitenberg’s formulation of non-equilibrium thermodynamics with internal variables in the context of a Riemannian space, as required by Einstein’s general relativity.
Francesco Farsaci, Patrizia Rogolino
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On equidistant pseudo-riemannian spaces (in Ukrainian) [PDF]
Математичні Студії, 2011 Paper treats special pseudo-Riemannian spaces | equidistant manifolds. Author found tensor characteristic necessary and sufficient condition for a space to admit exactly n - 2 equidistant vector field.
V. A. Kiosak
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ON THE ALGEBRAIC CLASSIFICATION OF PSEUDO-RIEMANNIAN SPACES [PDF]
International Journal of Geometric Methods in Modern Physics, 2011 We consider arbitrary-dimensional pseudo-Riemannian spaces of signature (k, k + m). We introduce a boost-weight decomposition and define a number of algebraic properties (e.g. the Si- and N-properties) and present a boost-weight decomposition to classify the Weyl tensors of arbitrary signature and discuss degenerate algebraic types (e.g.
Sigbjørn Hervik, A A Coley
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Darboux Associated Curves of a Null Curve on Pseudo-Riemannian Space Forms
Mathematics, 2020 In this work, the Darboux associated curves of a null curve on pseudo-Riemannian space forms, i.e., de-Sitter space, hyperbolic space and a light-like cone in Minkowski 3-space are defined.
Jinhua Qian +2 more
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On some conformally einstein manifolds of dimension four [PDF]
ریاضی و جامعه, 2022 We study an important family of four-dimensional pseudo-Riemannian manifolds, i.e. generalized symmetric spaces, in terms of conformal geometry. Generalized symmetric spaces were introduced by geometers as an extension of symmetric spaces, and a detailed
Amirhesam Zaeim +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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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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Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]
ریاضی و جامعه, 2022 In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration.
Yadollah Aryanejad
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