On the Space of 3-dimensional Homogeneous Riemannian Manifolds

H. -J. Schmidt

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On the Space of 3-dimensional Homogeneous Riemannian Manifolds

H. -J. Schmidt

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Abstract

We answer the following question: Let l, m, n be arbitrary real numbers. Does there exist a 3-dimensional homogeneous Riemannian manifold whose eigenvalues of the Ricci tensor are just l, m and n ?

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H. -J. Schmidt. 2001-09-04. On the Space of 3-dimensional Homogeneous Riemannian Manifolds. https://arxiv.org/abs/gr-qc/0109008

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