Results 291 to 300 of about 1,212,618 (337)

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
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ON THE SEMICHARACTERISTICS OF HOMOGENEOUS SPACES

The Quarterly Journal of Mathematics, 1985
This paper analyzes the Kervaire semicharacteristic of homogeneous spaces G/H, \(k(G/H)=\dim H^{2*}(G/H; {\mathbb{Z}}_ 2) (mod 2)\). Particular attention is paid to the case \(G=SU(n)\), and for example, one result is the following Theorem: Let H be a connected simple Lie subgroup of SU(n) with dim(SU(n)/H) odd.
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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.
Bacry, H., Kihlberg, A.
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Metrically homogeneous spaces

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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On the Free Loop Space of Homogeneous Spaces

American Journal of Mathematics, 1987
This 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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Curves in Homogeneous Spaces

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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Homogeneous Spaces of Operators

Fil: Recht, Lázaro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15.
Andruchow, Esteban, Corach, Gustavo, Recht, Lázaro   +2 more
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Metrically Homogeneous Spaces

American Journal of Mathematics, 1946
Not ...
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