Results 1 to 10 of about 1,172,151 (314)
On Holonomy and Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1957 In general a homogeneous space admits many invariant affine connections. Among these are certain connections which appear in many ways to be more natural than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind.
Bertram Kostant
openalex +5 more sources
A compact homogeneous S-space [PDF]
Topology and its Applications, 2004 6 ...
Ramiro de la Vega, Kenneth Kunen
openaire +4 more sources
Strongly homogeneous spaces [PDF]
Proceedings of the American Mathematical Society, 1975 Spaces satisfying various conditions have previously been called strongly homogeneous spaces and many results about the group of homeomorphisms of such spaces have been proved. However spaces may satisfy some “strongly homogeneous” condition without being homogeneous.
Carol Kitai
openalex +3 more sources
Homogeneous geodesics in homogeneous Finsler spaces
Journal of Geometry and Physics, 2007 In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups.
Arnold +14 more
openaire +5 more sources
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
doaj +4 more sources
On the dimension of homogeneous spaces. [PDF]
Journal of the Mathematical Society of Japan, 1954 Tsuneyo Yamanoshita
openalex +3 more sources
Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия. 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
doaj +1 more source
Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2021 The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
doaj +1 more source
Left-Invariant Einstein-like Metrics on Compact Lie Groups
Mathematics, 2022 In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric space, and the isotropy representation of G/H has exactly
An Wu, Huafei Sun
doaj +1 more source