Three-dimensional metrics as deformations of a constant curvature metric
classification
🌀 gr-qc
keywords
metricconstantcurvaturethree-dimensionalalongdeformationsdeformingdirection
read the original abstract
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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