Resumen de On Willmore's Inequality for Submanifolds

Jianzu Zhou

• Let M be an m dimensional submanifold in the Euclidean space Rn and H be the mean curvature of M. We obtain some low geometric estimates of the total square mean curvature intM H2 d sigma. The low bounds are geometric invariants involving the volume of M, the total scalar curvature of M, the Euler characteristic and the circumscribed ball of M.