Critical Point Theory and Submanifold Geometry

Critical Point Theory and Submanifold Geometry

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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.