ON THE GEODESIC SPHERES OF THE 3-DIMENSIONAL HEISENBERG GROUPS

  • Jang, Chang-Rim (Department of Mathematics University of Ulsan) ;
  • Kim, Rok (Department of Mathematics University of Ulsan) ;
  • Park, Keun (Department of Mathematics University of Ulsan)
  • Published : 2005.06.30

Abstract

Let $\mathbb{H}^3$ be the 3-dimensional Heisenberg group equipped with a left-invariant metric. In this paper, We characterize the Gaussian curvatures of the geodesic spheres on $\mathbb{H}^3$.

Keywords