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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Bibliographic Details
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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Summary: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.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-012-9319-z