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Russian Mathematical Surveys, 2002
Summary: This survey discusses the problem of describing properties of the class of metric spaces in which the Uryson construction of a universal homogeneous metric space (for this class) can be carried out axiomatically. One of the main properties of this kind is the possibility of gluing together two metrics given on closed subsets and coinciding on ...
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Summary: This survey discusses the problem of describing properties of the class of metric spaces in which the Uryson construction of a universal homogeneous metric space (for this class) can be carried out axiomatically. One of the main properties of this kind is the possibility of gluing together two metrics given on closed subsets and coinciding on ...
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On the Free Loop Space of Homogeneous Spaces
American Journal of Mathematics, 1987This paper shows that if M is a compact simply connected homogeneous space which is not diffeomorhic to a symmetric space of rank one, then the Betti numbers with \({\mathbb{Z}}_ 2\)-coefficients of the free loop space of M are unbounded. As a corollary, the authors extend a result of Gromoll-Meyer to show that any Riemannian metric on M has infinitely
McCleary, John, Ziller, Wolfgang
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Canadian Journal of Mathematics, 1977
Let be a Lie group with connected Lie subgroup , and let M(t), N(i) be real analytic curves in , the Lie algebra of , with .
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Let be a Lie group with connected Lie subgroup , and let M(t), N(i) be real analytic curves in , the Lie algebra of , with .
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Homogeneous Spaces of Operators
Fil: Recht, Lázaro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15.Andruchow, Esteban +2 more
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Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory
Theory and Applications of Categories, 2012An ergodic action of a compact quantum group G on an operator algebra A can be interpreted as a quantum homogeneous space for G. Such an action gives rise to the category of finite equivariant Hilbert modules over A, which has a module structure over the
K. Commer, M. Yamashita
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Embeddings of Spherical Homogeneous Spaces
Acta Mathematica Sinica. English series, 2018J. Gandini
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Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups
, 2017A. G. Farashahi
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