Geometry of Submanifolds spin populations

spin populations

John von Neumann

embryology

and the complete behind-the-scenes story of how they designed

The author has been careful

Geometry of Submanifolds spin populationsThe 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.