Geodesic manifolds with a transitive subset of smooth biLipschitz maps
نویسندگان
چکیده
منابع مشابه
Geodesic Manifolds with a Transitive Subset of Smooth Bilipschitz Maps
This paper is connected with the problem of describing path metric spaces which are homeomorphic to manifolds and biLipschitz homogeneous, i.e., whose biLipschitz homeomorphism group acts transitively. Our main result is the following. LetX = G/H be a homogeneous space of a Lie group G, and let d be a geodesic distance on X inducing the same topology. Suppose there exists a subgroup GS of G whi...
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In a non-complete graph $Gamma$, a vertex triple $(u,v,w)$ with $v$ adjacent to both $u$ and $w$ is called a $2$-geodesic if $uneq w$ and $u,w$ are not adjacent. The graph $Gamma$ is said to be $2$-geodesic transitive if its automorphism group is transitive on arcs, and also on 2-geodesics. We first produce a reduction theorem for the family of $2$-geodesic transitive graphs of prime power or...
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2011
ISSN: 1661-7207
DOI: 10.4171/ggd/140