Автор: Manfredo P. Do Carmo Название: Differential Forms and Applications Издательство: Springer Год: 1994 ISBN: 0387576185 Серия: Universitext Язык: English Формат: pdf Размер: 0,6 mb Страниц: 126
Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely the Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames of E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. Everything is then put together in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.
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Differential Forms and Applications 
