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Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]
Известия 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
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия 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
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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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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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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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Affine homogeneous varieties and suspensions [PDF]
Research in the Mathematical Sciences 11 (2024), no. 2, article 27, 2023 An algebraic variety $X$ is called a homogeneous variety if the automorphism group $\mathrm{Aut}(X)$ acts on $X$ transitively, and a homogeneous space if there exists a transitive action of an algebraic group on $X$. We prove a criterion of smoothness of a suspension to construct a wide class of homogeneous varieties.
arxiv +1 more source
On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]
Известия Саратовского университета. Новая серия. 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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Hausdorff operators on homogeneous spaces of locally compact groups
Журнал Белорусского государственного университета: Математика, информатика, 2020 Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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POINTWISE MULTIPLICATION IN THE REALIZED HOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES
Проблемы анализа, 2018 For either homogeneous Besov spaces B_(s;p,q)(R_n) or homogeneous Triebel-Lizorkin spaces F_(s;p,q)(R_n), with the conditions either s < n/p, or s = n/p and q ≤ 1 in the B_(s;p,q)-case, p ≤ 1 in the F_(s;p,q)-case, we prove some pointwise multiplication ...
Madani Moussai, Samira Bissar
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Concentrated Force Action on 1/8 Homogeneous Isotropic Space
Наука и техника, 2020 Using the example of vertical displacements, it is shown that by combining a solution to the problem of determining vertical displacements from the action of four identical concentrated forces symmetrically applied to an elastic half-space and two ...
S. V. Bosakov, P. D. Skachok
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