Doubling property for biLipschitz homogeneous geodesic surfaces

Details Doubling property for biLipschitz homogeneous geodesic surfaces Doubling property for biLipschitz homogeneous geodesic surfaces

2008-11-02

arxiv.org/abs/0811.0125v1

Mathematics

Metric Geometry

22 pages

Scientific paper

In this paper we discuss general properties of geodesic surfaces that are
(locally) biLipschitz homogeneous. In particular, we prove that they are
locally doubling and there exists a special doubling measure analogous to the
Haar measure for locally compact groups.

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