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Some applications of Cartan's method of equivalence to the geometric study of ordinary and partial differential equations

Posted on:1994-06-27Degree:Ph.DType:Dissertation
University:McGill University (Canada)Candidate:Fels, Mark EricFull Text:PDF
GTID:1470390014494823Subject:Mathematics
Abstract/Summary:
Cartan's method of equivalence is used to prove that there exists two fundamental tensorial invariants which determine the geometry of systems of n (;We also characterize invariantly under point transformations some equivalence classes of parabolic quasi-linear second order partial differential equations, and examine their point symmetry groups. We are able to make our characterizations by proving a reduction theorem for principal fibre bundles.
Keywords/Search Tags:Equivalence
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