F-Willmore submanifold in space forms
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