Differential Forms and Applications

Differential Forms and Applications

by Manfredo P. Do Carmo

118 pages· 1994· ISBN 9783540576181
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This book uses differential forms to study local and global aspects of the differential geometry of surfaces. It introduces differentiable manifolds then presents Stokes' theorem. Applications consist in developing the method of moving frames of E. Cartan to study the local differential geometry of immersed surfaces in R3 and the intrinsic geometry of surfaces. Also covered is Chern's proof of the Gauss-Bonnet theorem for compact surfaces.

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