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Title of Journal: Acta Math Sinica

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Abbravation: Acta Mathematica Sinica, English Series

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Springer-Verlag

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DOI

10.1002/jpln.19701250202

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1439-7617

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Immersed Hypersurfaces in the Unit Sphere Emphasi

Authors: Xing Xiao Li Feng Yun Zhang
Publish Date: 2007/01/20
Volume: 23, Issue: 3, Pages: 533-548
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Abstract

For an immersed submanifold x M m → S n in the unit sphere S n without umbilics an eigenvalue of the Blaschke tensor of x is called a Blaschke eigenvalue of x It is interesting to determine all hypersurfaces in S n with constant Blaschke eigenvalues In this paper we are able to classify all immersed hypersurfaces in S m+1 with vanishing Möbius form and constant Blaschke eigenvalues in case 1 x has exact two distinct Blaschke eigenvalues or 2 m = 3 With these classifications some interesting examples are also presented

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  2. The bipolar quantum drift-diffusion model
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