Generalized Willmore Functionals Of A Submanifold And Related Variational Problems

In this paper. We study the following tow classes of questions: one is the consruction of conformal invariants of submanifolds in conformal differential geometry; another is the problem of variation of these conformal invariant funtionals, at last showing concrete examples of minimal submanifolds. We use the method of moving frame to study submanifolds in conformal differential geometry, and construct new minimal submanifolds.