ENGLISH

Introduction to Exterior Differential Systems

By Benjamin McKay

Book information

Publisher
Benjamin McKay
Year
2021
Language
english
Format
PDF
Filesize
50 MB (52354277 bytes)
Pages
194\194
Time added
2021-04-11 18:57:34

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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