Results 141 to 150 of about 1,223,041 (189)

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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Metrically Homogeneous Spaces

American Journal of Mathematics, 1946
Not ...
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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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Homogeneous Lorentz spaces. I

Journal of Soviet Mathematics, 1990
[For part I, cf. ibid. 30, 116-122 (1987; Zbl 0633.53087).] A new theorem on the causality relation and its dependence on the acting group is given. Instructive examples are supplied.
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Lipschitz Homogeneous Banach Spaces

The Quarterly Journal of Mathematics, 2003
Summary: Define a Lipschitz homogeneous space to be a Banach space Lipschitz equivalent to all its closed subspaces. It is proved that a Lipschitz homogeneous Banach space with the Radon--Nikodým property must be isomorphic to \(l_2\).
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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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Highly Symmetric Homogeneous Spaces

Canadian Journal of Mathematics, 1974
We consider effective homogeneous spacesM=G/HwhereGis a compact connected Lie group,His a closed subgroup andGacts effectively onM(i.e.,Hcontains no non-trivial subgroup normal inG). It is known that dimG≦m2/2 +m/2 wherem= dimMand that if dimG=m2/2 +m/2, thenMis diffeomorphic to the standard sphereSmor the standard real projective spaceRPm[1].
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Two-Point Homogeneous Spaces

The Annals of Mathematics, 1952
Most of the classical metric spaces with metric "d" have the property that given any two pairs of points a, , a2 , bi, b2 of the space with d(al , a2) = d(b1, b2), there is an isometry of the space carrying a1, a2 to b1, b2 respectively. This property was called two-point homogeneity by Birkhoff [2] and called the (*)-property by Busemann.
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