Results 281 to 290 of about 183,847 (315)

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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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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Responsive materials architected in space and time

Nature Reviews Materials, 2022
Xiaoxing Xia, Christopher M Spadaccini, Julia R Greer   +2 more
exaly  

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming, Eric D Van Hullebusch, Thomas R Neu   +2 more
exaly  

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
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