Results 1 to 10 of about 1,565,737 (187)
On completely homogeneous c-spaces
In this paper we determine completely homogeneous c-spaces. Various properties of completely homogeneous c-spaces are discussed. Relation between completely homogeneous c-space and hereditary homogeneous c-space is studied.
P. Sini
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Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]
An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
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 [PDF]
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
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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Sobolev inequality with non-uniformly degenerating gradient
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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Monotonicity on homogeneous spaces [PDF]
This paper presents a formulation of the notion of monotonicity on homogeneous spaces. We review the general theory of invariant cone fields on homogeneous spaces and provide a list of examples involving spaces that arise in applications in information engineering and applied mathematics.
Mostajeran, Cyrus, Sepulchre, Rodolphe
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Character on a homogeneous space [PDF]
15 pages, comments and suggestions are ...
A J Parameswaran, K Amith Shastri
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Curvatures on Homogeneous Generalized Matsumoto Space
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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Tangent Bundles of Homogeneous Spaces are Homogeneous Spaces [PDF]
In this paper we describe how the tangent bundle of a homogeneous space can be viewed as a homogeneous space.
Roger W. Brockett, H. J. Sussmann
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