Three-dimensional metrics as deformations of a constant curvature metric

Details Three-dimensional metrics as deformations of a constant curvature metric Three-dimensional metrics as deformations of a constant curvature metric

2001-04-23

arxiv.org/abs/gr-qc/0104070v1

Gen.Rel.Grav.34:269-282,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX

Scientific paper

10.1023/A:1015391411214

Any three-dimensional Riemannian metric can be locally obtained by deforming
a constant curvature metric along one direction. The general interest of this
result, both in geometry and physics, and related open problems are stressed.

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