Prolongations of Geometric Overdetermined Systems

Details Prolongations of Geometric Overdetermined Systems Prolongations of Geometric Overdetermined Systems

2004-02-06

arxiv.org/abs/math/0402100v3

Int.J.Math.17:641-664,2007

Mathematics

Differential Geometry

22 pages. In the second version, a comparison with the classical theory of prolongations was added. In this third version more

Scientific paper

10.1142/S0129167X06003655

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.

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