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On completely homogeneous c-spaces

open access: yesHeliyon, 2020
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
doaj   +4 more sources

Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]

open access: yesИзвестия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2023
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
doaj   +1 more source

Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]

open access: yesИзвестия Саратовского университета. Новая серия. 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
doaj   +1 more source

TEMPERED HOMOGENEOUS SPACES IV [PDF]

open access: yesJournal 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
openaire   +6 more sources

Left-Invariant Einstein-like Metrics on Compact Lie Groups

open access: yesMathematics, 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
doaj   +1 more source

Sobolev inequality with non-uniformly degenerating gradient

open access: yesElectronic 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
doaj   +1 more source

Monotonicity on homogeneous spaces [PDF]

open access: yesMathematics of Control, Signals, and Systems, 2018
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
openaire   +4 more sources

Character on a homogeneous space [PDF]

open access: yesProceedings - Mathematical Sciences, 2021
15 pages, comments and suggestions are ...
A J Parameswaran, K Amith Shastri
openaire   +3 more sources

Curvatures on Homogeneous Generalized Matsumoto Space

open access: yesMathematics, 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
doaj   +1 more source

Tangent Bundles of Homogeneous Spaces are Homogeneous Spaces [PDF]

open access: yesProceedings 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.
Roger W. Brockett, H. J. Sussmann
openaire   +1 more source

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