Results 11 to 20 of about 183,847 (315)
Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
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TEMPERED HOMOGENEOUS SPACES IV
Journal of the Institute of Mathematics of Jussieu, 2022 AbstractLet G be a complex semisimple Lie group and H a complex closed connected subgroup. Let and be their Lie algebras. We prove that the regular representation of G in $L^2(G/H)$ is tempered if and only if the orthogonal of in contains regular elements by showing simultaneously the equivalence to other striking conditions, such as has a ...
Yves Benoist, Toshiyuki Kobayashi
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Left-Invariant Einstein-like Metrics on Compact Lie Groups
Mathematics, 2022 In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric space, and the isotropy representation of G/H has exactly
An Wu, Huafei Sun
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Curvatures on Homogeneous Generalized Matsumoto Space
Mathematics, 2023 The curvature characteristics of particular classes of Finsler spaces, such as homogeneous Finsler spaces, are one of the major issues in Finsler geometry. In this paper, we have obtained the expression for S-curvature in homogeneous Finsler space with a
M. K. Gupta +3 more
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Sobolev inequality with non-uniformly degenerating gradient
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we prove the following weighted Sobolev inequality in a bounded domain $\Omega\subset \mathbb{R}^n$, $ n\geq 1$, of a homogeneous space $(\mathbb{R}^n, \rho, wdx)$, under suitable compatibility conditions on the positive weight functions $(
Farman Mamedov, Sara Monsurrò
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Tangent Bundles of Homogeneous Spaces are Homogeneous Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we describe how the tangent bundle of a homogeneous space can be viewed as a homogeneous space.
Brockett, R. W., Sussmann, H. J.
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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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Symplectic Homogeneous Spaces [PDF]
Transactions of the American Mathematical Society, 1974 It is proved in this paper that for a given simply connected Lie group G with Lie algebra g \mathfrak {g} , every left-invariant closed 2-form induces a symplectic homogeneous space. This fact generalizes the results in [7] and [12] that if H 1 (
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Le problème régional en géographie
Géographie et Cultures, 2016 In the traditional rural countries, it was possible to distinguish areas that were homogeneous by their physical and human features: the regional perspective played an essential role, since it facilitated knowledge and insured a good administration ...
Paul Claval
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Symplectic homogeneous spaces [PDF]
Transactions of the American Mathematical Society, 1975 In this paper we make various remarks, mostly of a computational nature, concerning a symplectic manifold X on which a Lie group G acts as a transitive group of symplectic automorphisms. The study of such manifolds was initiated by Kostant [41 and Souriau [5] and was recently developed from a more general point of view by Chu [2].
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