Differential Geometry: 1972 Lecture Notes (Lecture Notes

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There are many easily understood, unsolved problems concerning convex sets, geometric inequalities, packings and coverings, distance geometry, combinatorial geometry, the geometry of numbers, and other like branches of classical geometry. Partial differential equations have been used to establish fundamental results in mathematics such as the uniformization theorem, Hodge-deRham theory, the Nash embedding theorem, the Calabi-Yau theorem, the positive mass theorem, the Yamabe theorem, Donaldson's theory of smooth 4-manifolds, nonlinear stability of the Minkowski space-time, the Riemannian Penrose inequality, the Poincaré conjecture in 3D, and the differentiable sphere theorem.

Pages: 158

Publisher: Minkowski Institute Press (July 22, 2016)


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