Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere

For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which the variational equation and Simons’ type int...

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Bibliographic Details
Main Authors: Yanqi Zhu, Jin Liu, Guohua Wu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/697132
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