Results 21 to 30 of about 53,101 (309)
Naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces
, 2021 summary:In the present paper we study naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces. We show that for homogeneous $(\alpha ,\beta )$-metric spaces, under a mild condition, the two definitions of naturally reductive homogeneous Finsler ...
Parhizkar, M., Salimi Moghaddam, H.R.
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On the Vector in Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1953 The main purpose of this paper is to investigate the parallelism of vectors in homogeneous spaces. The definition of a vector and the condition for spaces under which a covariant differential of a vector is also a vector were given by E. Cartan [4] in a very intuitive way. Here I formulate this in a stricter way by his method of moving frame. Even if a
openaire +3 more sources
Polar Actions on Berger Spheres [PDF]
, 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
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On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex 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
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Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]
ریاضی 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
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Symplectic duality of Symmetric Spaces [PDF]
, 2008 We show that between symmetric spaces of different types there exists a bi-symplectic map.
Loi, Andrea +4 more
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Geometry applications of irreducible representations of Lie Groups [PDF]
, 2010 In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Thomas Leistner +5 more
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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis and Geometry in Metric Spaces, 2020 In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming +3 more
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Rank inequality in homogeneous Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classification of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying $K\
Ming Xu
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Classification of 4-dimensional homogeneous D'Atri spaces [PDF]
, 2008 summary:The property of being a D’Atri space (i.e., a space with volume-preserving symmetries) is equivalent to the infinite number of curvature identities called the odd Ledger conditions.
Kowalski, Oldřich, Arias-Marco, Teresa
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