Robert L. Bryant / S. S. Chern / P. A. Griffiths / Hubert L. Goldschmidt / Robert B. Gardner
Exterior Differential Systems
- Springer New York
- 2011
- Taschenbuch
- 488 Seiten
- ISBN 9781461397168
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in
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