On the Space of 3-dimensional Homogeneous Riemannian Manifolds

Details On the Space of 3-dimensional Homogeneous Riemannian Manifolds On the Space of 3-dimensional Homogeneous Riemannian Manifolds

2001-09-04

arxiv.org/abs/gr-qc/0109008v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

2 pages, LaTeX, reprinted from Proc. Conf. Brno (1995)

Scientific paper

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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