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

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

2010-05-20

arxiv.org/abs/1005.3740v1

Mathematics

Differential Geometry

14 pages, 5 figures

Scientific paper

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.

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