Manifolds with integrable affine shape operator

This work establishes the conditions for the existence of vector fields with the property that theirs covariant derivative, with respect to the affine normal connection, be the affine shape operatorS in hypersurfaces. Some results are obtained from this property and, in particular, for some kind of...

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Bibliographic Details
Main Author: Daniel A. Joaquín
Format: Article
Language:English
Published: Università degli Studi di Catania 2005-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/135