Open Access
2006 A classification of immersed hypersurfaces in spheres with parallel Blaschke tensor
Xingxiao Li, Fengyun Zhang
Tohoku Math. J. (2) 58(4): 581-597 (2006). DOI: 10.2748/tmj/1170347691

Abstract

In this paper, we give a complete classification of all immersed hypersurfaces in the unit sphere with parallel Blaschke tensors. For this classification, two kinds of new examples are constructed.

Citation

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Xingxiao Li. Fengyun Zhang. "A classification of immersed hypersurfaces in spheres with parallel Blaschke tensor." Tohoku Math. J. (2) 58 (4) 581 - 597, 2006. https://doi.org/10.2748/tmj/1170347691

Information

Published: 2006
First available in Project Euclid: 1 February 2007

zbMATH: 1135.53309
MathSciNet: MR2297201
Digital Object Identifier: 10.2748/tmj/1170347691

Subjects:
Primary: 53A30
Secondary: 53B25

Keywords: constant scalar curvature , Möbius form , Möbius metric , parallel Blaschke tensor , second Möbius fundamental form

Rights: Copyright © 2006 Tohoku University

Vol.58 • No. 4 • 2006
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