In this paper we consider some properties of the three-dimensional homogenous 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.
On the three-dimensional homogenous $SO(2)$ - isotropic Riemannian manifolds
PIU, MARIA PAOLA;
2011-01-01
Abstract
In this paper we consider some properties of the three-dimensional homogenous 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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