Results 11 to 20 of about 1,610,660 (210)

Homogeneous locally compact spaces [PDF]

open access: yes, 2023
This is a survey of the recent results and unsolved problems about locally compact homogeneous metric spaces. Mostly, homogeneous finite-dimensional $ANR$-spaces are discussed.Comment: 12 pages.
Valov, Vesko
core   +1 more source

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

open access: yesOpen 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
doaj   +1 more source

Polar Actions on Berger Spheres [PDF]

open access: yes, 2006
The object of this article is to study a torus action on a so-called Berger sphere. We also make some comments on polar actions on naturally reductive homogeneous spaces. Finally, we prove a rigidity-type theorem for Riemannian manifolds carrying a polar
ANTONIO J. DI SCALA   +1 more
core   +1 more source

Quantum Product and Parabolic Orbits in Homogeneous Spaces [PDF]

open access: yes, 2014
Chaput, Manivel, and Perrin proved in [3] a formula describing the quantum product by Schubert classes associated to cominuscule weights in a rational projective homogeneous space X. In the case where X has Picard rank one, we relate this formula to the
Pech, Clelia
core   +1 more source

Convolution operators and the discrete Laplacian [PDF]

open access: yes, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core   +2 more sources

Geodesic vectors of square metrics on 5- dimensional generalized symmetric spaces [PDF]

open access: yesریاضی و جامعه
In this paper, we consider the $(\alpha, \beta)$-metric $F=\frac{(\alpha + \beta)^2}{\alpha}$ along with the function $\phi$ with the definition of $\phi(s)=1+2s+s^2$, which is known as a square metric, on 5-dimensional generalized symmetric spaces. Then
Dariush Latifi, Milad Zeinali
doaj   +1 more source

On Degenerate 3-(α, δ)-Sasakian Manifolds

open access: yesComplex Manifolds, 2022
We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver   +2 more
doaj   +1 more source

Frames and Homogeneous Spaces [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2011
Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with .
A. Ghaani Farashahi
doaj  

Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces

open access: yesAdvanced Nonlinear Studies, 2023
Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
doaj   +1 more source

Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]

open access: yesریاضی و جامعه, 2022
In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration.
Yadollah Aryanejad
doaj   +1 more source

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