Ideal Einstein, conformally flat and semi-symmetric immersions
type: Item
instance of: scholarly article
title: Ideal Einstein, conformally flat and semi-symmetric immersions
zbMATH Open document ID: 1025.53030
DOI: 10.1007/BF02784512
published in: Israel Journal of Mathematics
publication date: 2003-11-26T00:00:00Z
review text: Let \(M\) be an ideal submanifold of a real space form, that is the invariants introduced in [\textit{B. Y. Chen}, Arch. Math. 60, 568--578 (1993; Zbl 0811.53060); Math. Proc. Camb. Philos. Soc. 128, 511--533 (2000; Zbl 0980.53096)] satisfy a certain equality. When \(M\) is either Einstein or conformally flat, then under sufficient conditions given here, \(M\) is totally geodesic. The paper ends with a complete classification of all ideal semi-symmetric hypersurfaces in real space forms.
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1874394
zbMATH Keywords: semi-symmetric immersion
zbMATH Keywords: conformally flat immersion
author: Guanghan Li
reviewed by: Cornelia-Livia Bejan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1874394