Doubling property for biLipschitz homogeneous geodesic surfaces
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🧮 math.MG
math.GT
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doublinglocallybilipschitzgeodesichomogeneousmeasuresurfacesanalogous
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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.
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