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

P. Piu; M. M. Profir

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arXiv · 1005.3740

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

P. Piu·M. M. Profir

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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.

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BibTeX RIS

P. Piu, M. M. Profir. 2010-05-20. On the three-dimensional homogeneous SO(2) - isotropic Riemannian manifolds. https://arxiv.org/abs/1005.3740

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