Results 41 to 50 of about 1,565,737 (187)
The Laplacian on homogeneous spaces [PDF]
Journal of Mathematical Physics, 2008 The solution of the eigenvalue problem of the Laplacian on a general homogeneous space G∕H is given. Here, G is a compact, semisimple Lie group, H is a closed subgroup of G, and the rank of H is equal to the rank of G. It is shown that the multiplicity of the lowest eigenvalue of the Laplacian on G∕H is just the degeneracy of the lowest Landau level ...
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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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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On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
Mathematics, 2023 The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived an expression of Ricci curvature for the homogeneous generalized Matsumoto change.
Yanlin Li +3 more
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On (strongly) ($Θ$-)discrete homogeneous spaces [PDF]
arXiv, 2022 We introduce the classes of (strongly) ($\Theta$-)discrete homogeneous spaces. We discuss the relationships of these classes to other classes of spaces possessing homogeneity-related properties, such as (strongly) ($n$-)homogeneous spaces. Many examples are given distinguishing discrete homogeneity and other types of homogeneity.
arxiv
On the Existence of Homogeneous Geodesics in Homogeneous Kropina Spaces [PDF]
Bull. Iran. Math. Soc. 46, 457-469 (2020), 2017 Recently, it is shown that each regular homogeneous Finsler space $M$ admits at least one homogeneous geodesic through any point $o\in M$. The purpose of this article is to study the existence of homogeneous geodesics on singular homogeneous $(\alpha,\beta)$-spaces, specially, homogeneous Kropina spaces.
arxiv +1 more source
The pseudo-hyperplanes and homogeneous pseudo-embeddings of AG(n, 4) and PG(n, 4) [PDF]
, 2011 We determine all homogeneous pseudo-embeddings of the affine space AG(n, 4) and the projective space PG(n, 4). We give a classification of all pseudo-hyperplanes of AG(n, 4).
De Bruyn, Bart
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Homogeneous Ultrametric Spaces
Journal of Algebra, 1996 This is a continuation of our papers ‘‘Generalized Ultrametric Spaces,’’ Ž w x. I, II see 9, 10 , where we studied spaces X, endowed with an ultrametric distance d with values in a partially ordered set G. In those papers, we developed a full theory, which concerned equivalence relations compatible with the distance, the skeleton, the associated ...
S. Priess-Crampe, Paulo Ribenboim
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Homogeneous ACM bundles on rational homogeneous spaces [PDF]
arXiv, 2023 In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles and Ulrich bundles on rational homogeneous spaces. %with respect to general polarizations. From this result, we see that there are only finitely many irreducible homogeneous ACM bundles (up to twist) and Ulrich bundles on these varieties.
arxiv
Weyl homogeneous manifolds modeled on compact Lie groups [PDF]
, 2009 A Riemannian manifold is called Weyl homogeneous, if its Weyl tensors at any two points are "the same", up to a positive multiple. A Weyl homogeneous manifold is modeled on a homogeneous space $M_0$, if its Weyl tensor at every point is "the same" as the
Nikolayevsky, Y.
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