# GEODESIC SPHERES AND BALLS OF THE HEISENBERG GROUPS

• Jang, Changrim (Department of Mathematics, University of Ulsan) ;
• Park, Ji-Hye (Myung-Duk Girl's Middle School) ;
• Park, Keun (Department of Mathematics, University of Ulsan)
• Published : 2010.01.31
• 75 7

#### Abstract

Let ${\mathbb{H}}^{2n+1}$ be the (2n+1)-dimensional Heisenberg group equipped with a left-invariant metric. In this paper we study the Gaussian curvatures of the geodesic spheres and the volumes of geodesic balls in ${\mathbb{H}}^{2n+1}$.

#### Keywords

Heisenberg group;geodesic sphere;geodesic ball

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#### Cited by

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