Results 1 to 10 of about 839 (217)
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 III
Journal of Lie Theory, 2021 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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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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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
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Diameters of Homogeneous Spaces [PDF]
Mathematical Research Letters, 2003 Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y)=|Ad(yx^{-1})|_{G} on G. We prove the existence of a constant β\approx .12 (independent of G) such that for any closed subgroup H \subsetneq G, the diameter of the quotient ...
Freedman, Michael H. +2 more
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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 +3 more
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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 +2 more
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Monotonicity on homogeneous spaces [PDF]
Mathematics 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. Invariant cone fields associate a cone with the tangent space at
Cyrus Mostajeran, Rodolphe Sepulchre
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