ENGLISH

Differential forms and applications

By do Carmo M.P.

Book information

Publisher
Springer
Year
1994
ISBN
3-540-57618-5, 0-387-57618-5
Language
english
Format
DJVU
Filesize
929 kB (951191 bytes)
Series
Universitext
Edition
1st ed. 1994. Corr. 2nd printing 1998
Pages
133\133
Library
Kolxo3
DPI
600
Time added
2013-12-29 19:00:00

Description

An application of differential forms for the study of 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 Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces

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