Codazzi-equivalent Riemannian metrics
type: Item
instance of: scholarly article
title: Codazzi-equivalent Riemannian metrics
zbMATH Open document ID: 1217.53018
author: Udo Simon
author: Angela Schwenk-Schellschmidt
author: Luc Vrancken
published in: The Asian Journal of Mathematics
publication date: 2011-02-28T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ajm/1295040751
review text: The concept of Codazzi-equivalent Riemannian metrics is introduced. Then, a simple relation on the curvature tensors of two Codazzi-equivalent metrics is deduced. This implies some local and global uniqueness results for Riemannian manifolds and Euclidean hypersurfaces with maximal rank of the shape operator.
reviewed by: Boris Kruglikov
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 5858625
zbMATH Keywords: Codazzi pair
zbMATH Keywords: Codazzi-equivalence of Riemannian metrics
zbMATH Keywords: Codazzi tensors
zbMATH Keywords: hypersurfaces with parallel normals
MaRDI profile type: Publication
Wikidata QID: Q115206191
OpenAlex ID: W2054182347
DOI: 10.4310/AJM.2010.V14.N3.A1
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description: scientific article; zbMATH DE number 5858625