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Pseudosymmetric Spaces as Generalization of Symmetric spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its ...
Bilal Bilalov +3 more
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Mathematics, 2020 In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ricci-)
Volodymyr Berezovski +3 more
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Symmetric submanifolds in symmetric spaces
Differential Geometry and its Applications, 2002 In this paper we construct new examples of symmetric non-totally geodesic submanifolds in irreducible symmetric spaces of non-compact type and of rank⩾2. These symmetric spaces are characterized by the fact that they contain a reflective submanifold with
Osipova, Daria
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'Spindles' in symmetric spaces
Journal of the Mathematical Society of Japan, 2006 We study families of submanifolds in symmetric spaces of compact type arising as exponential images of s-orbits of variable radii. If the s-orbit is symmetric such submanifolds are the most important examples of adapted submanifolds, i.e. of submanifolds
Quast, Peter
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Symmetric spaces and star representations II. Causal symmetric spaces [PDF]
, 2002 We construct and identify star representations canonically associated with holonomy-reducible simple symplectic symmetric spaces. This leads a non-commutative geometric realization of the correspondence between causal symmetric spaces of Cayley-type and ...
Pevzner, Michail, Bieliavsky, Pierre
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AxiomsSymmetric spaces and sn-symmetric spaces, as a generalization of metric spaces, have many important properties and have been widely discussed. We consider characterizations and mapping properties of sn-symmetric spaces under ideal convergence.
Fang Liu +3 more
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G-Strands on symmetric spaces. [PDF]
Proc Math Phys Eng Sci, 2017 We study the G -strand equations that are extensions of the classical chiral model of particle physics in the particular setting of broken symmetries described by symmetric spaces. These equations are simple field theory models whose configuration space is a Lie group, or in this case a symmetric space.
Arnaudon A, Holm DD, Ivanov RI.
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Some properties of fuzzy cone symmetric spaces [PDF]
Journal of Hyperstructures, 2023 In this work, we give a fuzzy analogy of cone symmetric spaces that we call fuzzy cone symmetric spaces. Since these structurere obtained by omitting the triangle inequality in fuzzy cone metric spaces, there are topological degenerations.
Tarkan Oner
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GEOMETRIC INTEGRATION ON SYMMETRIC SPACES [PDF]
Journal of Computational Dynamics“This article has been published in a revised form in Journal of Computational Dynamics [https://www.aimsciences.org//article/doi/10.3934/jcd.2023015]. This version is free to download for private research and study only.
Munthe-Kaas, Hans Zanna
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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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