Abstract
On a smooth manifold $M$ we introduce the concept of Codazzi-equivalent Riemannian metrics. The curvature tensors of two Codazzi-equivalent metrics satisfy a simple relation. The results together with known facts about Codazzi tensors give a method of proof for old and new local and global uniqueness results for Riemannian manifolds and Euclidean hypersurfaces.
Citation
Udo Simon. Angela Schwenk-Schellschmidt. Luc Vrancken. "Codazzi-equivalent Riemannian Metrics." Asian J. Math. 14 (3) 291 - 302, September 2010.
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