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Introduction to exterior differential systems

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Lecture notes on exterior differential systems.

Author(s): Benjamin McKay
Edition: 6 September 2020
Year: 2020

Language: English
Pages: 184
City: Cork

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
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