Codazzi-equivalent Riemannian Metrics
Simon, Udo ; Schwenk-Schellschmidt, Angela ; Vrancken, Luc
Asian J. Math., Volume 14 (2010) no. 1, p. 291-302 / Harvested from Project Euclid
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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.
Published online : 2010-09-15
Classification:  Codazzi-equivalent Riemannian metrics,  Codazzi tensors,  hypersurfaces with parallel normals,  53C21,  53B20,  53B21,  53C20 
@article{1295040751,
     author = {Simon, Udo and Schwenk-Schellschmidt, Angela and Vrancken, Luc},
     title = {Codazzi-equivalent Riemannian Metrics},
     journal = {Asian J. Math.},
     volume = {14},
     number = {1},
     year = {2010},
     pages = { 291-302},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1295040751}
}

Simon, Udo; Schwenk-Schellschmidt, Angela; Vrancken, Luc. Codazzi-equivalent Riemannian Metrics. Asian J. Math., Volume 14 (2010) no. 1, pp.  291-302. http://gdmltest.u-ga.fr/item/1295040751/