Part I covers the existence and uniqueness of solutions of elliptic differential equations. The following should be sufficient background reading. Volume: 7 2018 134 pp MSC: Primary 35 53 This book is superbly written by a world-leading expert on partial differential equations and differential geometry. There are many resources available, and some of the resources listed above treat this topic before moving on to Riemannian Geometry. The presentation assumes knowledge of the elements of modern. Lectures on Differential Geometry by Ben Andrews(I learned from these notes) This book is based on lectures given at Harvard University during the academic year 19601961.A students perspective: Notes taken by Ian Vincent in 2011.Gallot, Hulin, Lafontaine: Riemannian Geometry (more advanced, but very nice development of the formalism of Riemannian Geometry).Petersen: Riemannian Geometry (more advanced, slightly non-standard approach definitely worth a look at some point). ![]()
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