Results 21 to 30 of about 1,224,360 (135)
Classifying homogeneous ultrametric spaces up to coarse equivalence
For every metric space $X$ we introduce two cardinal characteristics $\mathrm{cov}^\flat(X)$ and $\mathrm{cov}^\sharp(X)$ describing the capacity of balls in $X$.
Banakh, Taras, Repovš, Dušan
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Small BGK waves and nonlinear Landau damping
Consider 1D Vlasov-poisson system with a fixed ion background and periodic condition on the space variable. First, we show that for general homogeneous equilibria, within any small neighborhood in the Sobolev space W^{s,p} (p>1 ...
A. Gizzo +44 more
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The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces [PDF]
The main aim of this paper is to construct explicitly orthogonal bases for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors. Actually, we describe even the
Delanghe, Richard +2 more
core
Penrose limits of homogeneous spaces
We prove that the Penrose limit of a spacetime along a homogeneous geodesic is a homogeneous plane wave spacetime and that the Penrose limit of a reductive homogeneous spacetime along a homogeneous geodesic is a Cahen--Wallach space.
Ambrose +20 more
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Special Ball-Homogeneous Spaces
We continue the study of ball-homogeneous Riemannian manifolds, that is, R.ie-mannian spaces such that the volume of all sufficiently small geodesic balls or spheres only depends on the radius. First, we consider the case of locally reducible spaces. Then we treat the three-dimensional case, in particular for Einstein-like metrics and finally, we study
CALVARUSO, Giovanni, L. VANHECKE
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Fiberwise homogeneous fibrations of the 3-dimensional space forms by geodesics
A fibration of a Riemannian manifold is fiberwise homogeneous if there are isometries of the manifold onto itself, taking any given fiber to any other one, and preserving fibers.
Nuchi, Haggai
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Products and countable dense homogeneity [PDF]
Building on work of Baldwin and Beaudoin, assuming Martin's Axiom, we construct a zero-dimensional separable metrizable space $X$ such that $X$ is countable dense homogeneous while $X^2$ is not. It follows from results of Hru\v{s}\'ak and Zamora Avil\'es
Medini, Andrea
core
Homogeneous Subspaces of Products of Extremally Disconnected Spaces
Homogeneous countably compact spaces $X$ and $Y$ whose product $X\times Y$ is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of the third power of an extremally disconnected space are finite.
Reznichenko, Evgenii
core
Preferred Parameterisations on Homogeneous Curves [PDF]
We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries.Comment: 10 ...
Eastwood, Michael, Slovak, Jan
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Non-formal homogeneous spaces [PDF]
Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known. In this article we provide several construction principles and characterisations for non-formal homogeneous spaces, which will yield a lot of examples.
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