Calculus of Variations and Geometric Measure Theory

E. Le Donne

Doubling property for biLipschitz homogeneous geodesic surfaces

created by ledonne on 21 Dec 2018

[BibTeX]

preprint

Inserted: 21 dec 2018

Year: 2008

ArXiv: 0811.0125 PDF

Abstract:

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 that there exists a special doubling measure analogous to the Haar measure for locally compact groups.