On the three-dimensional homogeneous SO(2) - isotropic Riemannian manifolds

P. Piu; M. M. Profir

On the three-dimensional homogeneous SO(2) - isotropic Riemannian manifolds

Differential Geometry 2010-05-21 v1

Authors: P. Piu , M. M. Profir

Abstract

In this paper we consider some properties of the three-dimensional homogeneous SO(2)-isotropic Riemannian manifolds. In particular, we determine the geodesics, the totally geodesic surfaces, the totally umbilical surfaces and the geodesics of the rotational surfaces.

Keywords

homogeneous Riemannian manifolds SO(2)-isotropic geodesics totally geodesic surfaces totally umbilical surfaces rotational surfaces

Cite

@article{arxiv.1005.3740,
  title  = {On the three-dimensional homogeneous SO(2) - isotropic Riemannian manifolds},
  author = {P. Piu and M. M. Profir},
  journal= {arXiv preprint arXiv:1005.3740},
  year   = {2010}
}

Comments

14 pages, 5 figures

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