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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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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   +2 more
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