PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS-Reference-Cited by-同舟云学术

PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS

Published:2006-07 Issue:06 Volume:17 Page:641-664
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

BRANSON THOMAS¹,ČAP ANDREAS²,EASTWOOD MICHAEL³,ROD GOVER A.⁴

Affiliation:

1. Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA

2. Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Wien, Austria

3. Department of Mathematics, University of Adelaide, South Australia 5005, South Australia

4. Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Abstract

We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence, in the case of linear equations we extract sharp bounds on the dimension of the solution space.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X06003655

Reference15 articles.

1. Almost Hermitian symmetric manifolds I local twistor theory

2. Bernstein-Gelfand-Gelfand Sequences

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