Tohoku Mathematical Journal
2006
December
SECOND SERIES VOL. 58, NO. 4

Tohoku Math. J.
58 (2006), 581-597

Title A CLASSIFICATION OF IMMERSED HYPERSURFACES IN SPHERES WITH PARALLEL BLASCHKE TENSOR

Author Xingxiao Li and Fengyun Zhang

(Received May 2, 2005, revised May 15, 2006)
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.

2000 Mathematics Subject Classification. Primary 53A30; Secondary 53B25.
Key words and phrases. Möbius form, parallel Blaschke tensor, Möbius metric, second Möbius fundamental form, constant scalar curvature.

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