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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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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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Inclusion Properties of The Homogeneous Herz-Morrey Spaces With Variable Exponent

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021
In this paper, we have discussed about the inclusion properties of the homogeneous Herz-Morrey spaces with variable exponent and the weak homogeneous spaces with variable exponent. We also studied the inclusion relation between those spaces.
Hairur Rahman
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On completely homogeneous c-spaces

Heliyon, 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
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Inclusion Properties of The Homogeneous Herz-Morrey

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020
In this paper, we have discussed about the inclusion properties of the homogeneous Herz-Morrey spaces and the homogeneous weak homogeneous spaces. We also studied the inclusion relation between those spaces.
Hairur Rahman
doaj   +1 more source

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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Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups

Open Mathematics, 2023
In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.
Da Silva Adriano, Torreblanca Maria, Apaza Edgar, Bedoya Yaan   +3 more
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Discrete-Time Observations of Brownian Motion on Lie Groups and Homogeneous Spaces: Sampling and Metric Estimation

Algorithms, 2022
We present schemes for simulating Brownian bridges on complete and connected Lie groups and homogeneous spaces. We use this to construct an estimation scheme for recovering an unknown left- or right-invariant Riemannian metric on the Lie group from ...
Mathias Højgaard Jensen, Sarang Joshi, Stefan Sommer   +2 more
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On homogeneous spaces with finite anti-solvable stabilizers

Comptes Rendus. Mathématique, 2022
We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
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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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