Results 331 to 340 of about 5,574,078 (353)

Homogeneous Spaces with Sections

manuscripta mathematica, 2005
Let \(M\) be a connected complete Riemannian manifold. A section in \(M\) is a connected, totally geodesic, homogeneous submanifold \(\Sigma\) with the property that for all geodesics \(\gamma : {\mathbb R} \to M\) there exists an isometry \(g\) of \(M\) such that \(g \cdot \gamma({\mathbb R}) \subset \Sigma\) and \(g \cdot \gamma(0) = p\) for a fixed ...
Kollross, A., Samiou, E., Kollross, A., Samiou, E.   +3 more
openaire   +5 more sources

Strict positive definiteness on products of compact two-point homogeneous spaces

, 2016
We present an explicit characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of compact two-point homogeneous spaces, covering almost all possible choices for the spaces.
V. S. Barbosa, V. Menegatto
semanticscholar   +1 more source

Two Weight Commutators on Spaces of Homogeneous Type and Applications

Journal of Geometric Analysis, 2018
In this paper, we establish the two weight commutator theorem of Calderón–Zygmund operators in the sense of Coifman–Weiss on spaces of homogeneous type, by studying the weighted Hardy and BMO space for $$A_2$$ A 2 weights and by proving the sparse ...
X. Duong, Ruming Gong, Marie-Jose S. Kuffner, Ji Li, B. Wick, Dongyong Yang   +5 more
semanticscholar   +1 more source

KILLING VECTOR FIELDS OF CONSTANT LENGTH ON RIEMANNIAN NORMAL HOMOGENEOUS SPACES

, 2014
Killing vector fields of constant length correspond to isometries of constant displacement. Those in turn have been used to study homogeneity of Riemannian and Finsler quotient manifolds. Almost all of that work has been done for group manifolds or, more
Ming Xu, J. Wolf
semanticscholar   +1 more source

Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory

Theory and Applications of Categories, 2012
An 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
semanticscholar   +1 more source

Metrically homogeneous spaces [PDF]

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 ...
openaire   +2 more sources

Wavefunctions on Homogeneous Spaces

Journal of Mathematical Physics, 1969
The properties of a class of homogeneous spaces of the Poincaré group are discussed. An 8-dimensional space appears especially promising and the explicit unitary irreducible representations corresponding to physical particles are given using scalar wavefunctions on this space.
Henri Bacry, Arne Kihlberg
openaire   +2 more sources

Ricci flow on homogeneous spaces with two isotropy summands

, 2012
We consider the Ricci flow equation for invariant metrics on compact and connected homogeneous spaces whose isotropy representation decomposes into two irreducible inequivalent summands.
M. Buzano
semanticscholar   +1 more source