ENGLISH

Differential Forms and Applications

By Manfredo P. do Carmo

Book information

Publisher
Springer
Year
1994
ISBN
0387576185, 9780387576183
LCC
QA381 .C2813 1994
Open Library ID
OL1097322M
Language
english
Format
DJVU
Filesize
991 kB (1014460 bytes)
Series
Universitext
Edition
1
Pages
133\133
DPI
600
Orientation
no
Paginated
yes
Scanned
yes
Time added
2013-06-22 05:43:32

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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