New examples of Willmore submanifolds in the unit sphere via isoparametric functions

An isometric immersion is called Willmore if it is an extremal submanifold of the Willmore functional: , where S is the norm square of the second fundamental form and H is the mean curvature. Examples of Willmore submanifolds in the unit sphere are scarce in the literature. This article gives a seri...

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Published in:Annals of global analysis and geometry 2012-10, Vol.42 (3), p.403-410
Main Authors: Tang, Zizhou, Yan, Wenjiao
Format: Article
Language:English
Subjects:
Analysis
Curvature
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Immersion
Mathematical analysis
Mathematical functions
Mathematical Physics
Mathematics
Mathematics and Statistics
Norms
Studies
Topological manifolds
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description An isometric immersion is called Willmore if it is an extremal submanifold of the Willmore functional: , where S is the norm square of the second fundamental form and H is the mean curvature. Examples of Willmore submanifolds in the unit sphere are scarce in the literature. This article gives a series of new examples of Willmore submanifolds in the unit sphere via isoparametric functions of FKM-type.
doi_str_mv 10.1007/s10455-012-9319-z
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subjects Analysis
Curvature
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Immersion
Mathematical analysis
Mathematical functions
Mathematical Physics
Mathematics
Mathematics and Statistics
Norms
Studies
Topological manifolds
title New examples of Willmore submanifolds in the unit sphere via isoparametric functions
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