ENGLISH

Differential Forms and Applications

By Manfredo P. do Carmo

Book information

Publisher
Springer-Verlag
Year
2000
ISBN
9783540576181, 3540576185, 0387576185
LCC
QA381 .C2813 1994
Open Library ID
OL1097322M
Language
english
Format
PDF
Filesize
579 kB (592840 bytes)
Series
Universitext
Edition
1
Pages
119\119
Scanned
no
Time added
2010-02-18 13:16:04

Description

The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces. 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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