Prolongations of Geometric Overdetermined Systems

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dc.creatorBranson, Thomas
dc.creatorCap, Andreas
dc.creatorEastwood, Michael
dc.creatorGover, Rod
dc.date2004-02-06
dc.date2005-10-13
dc.date.accessioned2026-07-07T10:42:38Z
dc.date.available2026-07-07T10:42:38Z
dc.descriptionWe 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.
dc.description22 pages. In the second version, a comparison with the classical theory of prolongations was added. In this third version more details were added concerning our construction and especially the use of Kostant's computation of Lie algebra cohomology
dc.identifierhttps://arxiv.org/abs/math/0402100
dc.identifierhttp://arxiv.org/abs/math/0402100
dc.identifierInt.J.Math.17:641-664,2007
dc.identifierdoi:10.1142/S0129167X06003655
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182012
dc.subjectDifferential Geometry
dc.subjectPrimary 35N05; Secondary 17B66, 22E46, 58J70
dc.titleProlongations of Geometric Overdetermined Systems
dc.typetext

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