F-Willmore submanifold in space forms

Frontiers of Mathematics in China (Impact Factor: 0.45). 10/2011; 6(5):871-886. DOI: 10.1007/s11464-011-0140-y

ABSTRACT 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.

KeywordsMean curvature–Willmore submanifold–Simons’ type integral inequality

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