Critical Point Theory and Submanifold Geometry (Lecture Notes in Mathematics, 1353)

Preliminaries.- Local geometry of submanifolds.- Weingarten Surfaces in three dimensional space forms.- Focal points.- Transformation groups.- Isoparametric submanifolds.- Proper Fredholm submanifolds in Hilbert spaces.- Topology of isoparametric submanifolds.- Elementary critical point theory.- Advanced critical point theory.- The calculus of variations.