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http://dx.doi.org/10.4134/JKMS.2003.40.4.695

SOLVABILITY OF OVERDETERMINED PDE SYSTEMS THAT ADMIT A COMPLETE PROLONGATION AND SOME LOCAL PROBLEMS IN CR GEOMETRY  

Han, Chong-Kyu (Department of Mathematics Seoul National University)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.4, 2003 , pp. 695-708 More about this Journal
Abstract
We study the existence of solutions for overdetermined PDE systems that admit prolongation to a complete system. We reduce the problem to a Pfaffian system on a submanifold of the jet space of unknown functions and then express the integrability conditions in terms of the coefficients of the original system. As possible applications we present some local problems in CR geometry: determining the CR embeddibility into spheres and the existence of infinitesimal CR automorphisms.
Keywords
overdetermined PDE system; prolongation; complete system; involutivity; CR embedding; infinitesimal CR automorphism;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By Web Of Science : 7  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
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