Conformal geometry of Riemannian submanifolds Gauss, Codazzi and Ricci equations

Let f : (N,g) → (N, g¯) be a conformal immersion of Riemannian manifolds. We establish a relation between the Weyl tensor of N and the Weyl tensor of the restriction to N of the curvature tensor of N. Such relation is invariant for conformal changes of the metrics of N and N. An application to the l...

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Bibliographic Details
Main Authors: L. ORNEA, G. ROMANI
Format: Article
Language:English
Published: Sapienza Università Editrice 1995-02-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(2)/233-249.pdf