VOLUMES OF GEODESIC BALLS IN HEISENBERG GROUPS

Abstract

Let H3 be the 3-dimensional Heisenberg group equipped with a left-invariant metric. In this paper we calculate the volumes of geodesic balls in H3: Let Be(R) be the geodesic ball with center e (the identity of H3) and radius R in H3: Then, the volume of Be(R) is given by

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