• Title/Summary/Keyword: infinitesimal CR automorphism

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EQUIVALENCE PROBLEM AND COMPLETE SYSTEM OF FINITE ORDER

  • Han, Chong-Kyu
    • Journal of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.225-243
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    • 2000
  • We explain the notion of complete system and how it naturally arises from the equivalence problem of G-structures. Then we construct a complete system of 3rd order for the infinitesimal CR automorphisms of CR manifold of nondegenerate Levi form.

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

  • Han, Chong-Kyu
    • Journal of the Korean Mathematical Society
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    • v.40 no.4
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    • pp.695-708
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    • 2003
  • 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.