Geometry of Submanifolds John von Neumann

John von Neumann

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the bones and muscles of the head

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lively prose for which Lang was famous and are considered to be the very best English versions available

Geometry of Submanifolds John von NeumannThe first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold.