ENGLISH

Introduction to exterior differential systems

By Benjamin McKay

Book information

Year
2020
Language
english
Format
PDF
Filesize
50 MB (52333734 bytes)
Edition
6 September 2020
Pages
184\190
Library
https://github.com/Ben-McKay
Time added
2020-09-15 08:52:59

Description

Lecture notes on exterior differential systems. 1 Exterior differential systems 2 Tableaux 3 Example: almost complex structures 4 Prolongation 5 Cartan's test 6 The characteristic variety 7 Proof of the Cartan–Kaehler theorem 8 Cauchy characteristics 9 Example: conformal maps of surfaces 10 Example: Weingarten surfaces A The Cauchy–Kovalevskaya theorem B Symbol and characteristic variety C Analytic convergence D The moving frame E Curvature of surfaces F The Gauss–Bonnet theorem G Geodesics on surfaces Hints Bibliography

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