Frontiers of Mathematics in China >
F-Willmore submanifold in space forms
Received date: 31 Jan 2011
Accepted date: 29 Mar 2011
Published date: 01 Oct 2011
Copyright
We introduce an F-Willmore functional of submanifold in space forms, which generalizes the well-known Willmore functional. Its critical point is called the F-Willmore submanifold, for which the variational equation and Simons’ type integral inequality are obtained.
Jin LIU , Huaiyu JIAN . F-Willmore submanifold in space forms[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 871 -886 . DOI: 10.1007/s11464-011-0140-y
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