Results 21 to 30 of about 30,934 (307)
, 2011 We first review the basic theory of a general class of symmetric spaces with canonical reflections, midpoints, and displacement groups. We introduce a notion of gyrogroups established by A. A.
Kim, Se-Jong
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Conformal and Geodesic Mappings onto Some Special Spaces
Mathematics, 2019 In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces.
Volodymyr Berezovski +2 more
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A Unified Quantization of Gravity and Other Fundamental Forces of Nature
Universe, 2022 We quantized the interaction of gravity with Yang–Mills and spinor fields; hence, offering a quantum theory incorporating all four fundamental forces of nature.
Claus Gerhardt
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The bisymplectomorphism group of a bounded symmetric domain [PDF]
, 2008 In a previous paper with A. Loi we introduced the so called symplectic duality between Hermitian symmetric spaces. Such duality consists in a bysimplectomorphism between an open and dense subset of a compact Hermitian symmetric space and its non-compact ...
A. LOI +7 more
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Rigidity of symmetric spaces [PDF]
Séminaire de théorie spectrale et géométrie, 1999 The author characterizes generic groups, namely Zariski dense subgroups (not necessarily discrete) of the isometry group of a symmetric space of noncompact type in terms of the marked length spectrum. The main result reads as follows: Let \(X\) and \(Y\) be symmetric spaces of noncompact type without Euclidean de Rham factor.
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Lipschitz symmetric functions on Banach spaces with symmetric bases
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate Lipschitz symmetric functions on a Banach space $X$ with a symmetric basis. We consider power symmetric polynomials on $\ell_1$ and show that they are Lipschitz on the unbounded subset consisting of vectors $x\in \ell_1$ such that $|x_n ...
M.V. Martsinkiv +3 more
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Geometry applications of irreducible representations of Lie Groups [PDF]
, 2010 In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Thomas Leistner +5 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
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Symmetric Spaces Rolling on Flat Spaces
The Journal of Geometric Analysis, 2023 AbstractThe objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language accessible to a wider audience, in particular to readers with interest in applications.
V. Jurdjevic, I. Markina, F. Silva Leite
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The sheres in symmetric spaces
Hokkaido Mathematical Journal, 1991 A homomorphism between symmetric spaces \(M\) and \(N\) is a smooth map \(f: M\rightarrow N\) commuting with every point symmetry, \(fs_ x=s_{f(x)}f\). (Here \(s_ y\) denotes the point symmetry at \(y\) in \(M\) or \(N\).) When \(M\) is connected f is a homomorphism if and only if f is totally geodesic.
NAGANO, Tadashi, SUMI, Makiko
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