ENGLISH

Introduction to Exterior Differential Systems

By Benjamin McKay

Book information

Publisher
Benjamin McKay
Year
2022
Language
english
Format
PDF
Filesize
50 MB (52399485 bytes)
Edition
13 February 2022
Pages
204\204
Library
https://github.com/Ben-McKay
Time added
2022-02-13 14:40:20

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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