Mathematics – Algebraic Geometry
Scientific paper
1997-08-08
Mathematics
Algebraic Geometry
18 pages, amstex
Scientific paper
This is an elementary introduction to exterior differential systems motivated by two examples: minimal submanifolds and the isometric embedding problem. The two main goals of the lectures are: 1. To explain how to find an appropriate geometric setting for studying a given system of pde. 2. To explain the Cartan algorithm to determine the moduli space of local solutions to any given exterior differential system and an appropriate initial value problem for the system.
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