Results 1 to 10 of about 1,196,150 (335)
Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and give some sufficient conditions
Dmitrii V. Alekseevsky +1 more
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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: 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: 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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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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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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Canonical Structure of Locally Homogeneous Systems on Compact Closed 3-Manifolds of Types $E^3$, Nil and Sol [PDF]
, 1997 In this paper we investigate the canonical structure of diffeomorphism invariant phase spaces for spatially locally homogeneous spacetimes with 3-dimensional compact closed spaces.
H. Kodama, Scott
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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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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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