The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere
type: Item
instance of: scholarly article
title: The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere
zbMATH Open document ID: 0853.53037
author: Haizhong Li
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-06-09T00:00:00Z
full work available at URL: https://eudml.org/doc/118965
review text: Let \(M\) be a compact 3-dimensional totally real submanifold of the nearly Kaehler 6-sphere. The author proves that if the Ricci curvature Ric of \(M\), defined by \(\text{Ric} (v)= \sum \langle R(e_i, v)v, e_i \rangle\) satisfies \(\text{Ric} \geq 53/64\), then \(M\) is totally geodesic and \(\text{Ric}=2\).
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 885638
zbMATH Keywords: totally real submanifold
zbMATH Keywords: nearly Kaehler 6-sphere
zbMATH Keywords: Ricci curvature
reviewed by: Franki Dillen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 885638