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http://dx.doi.org/10.4134/CKMS.2010.25.1.083

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)
Publication Information
Communications of the Korean Mathematical Society / v.25, no.1, 2010 , pp. 83-96 More about this Journal
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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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
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