• 제목/요약/키워드: tangential Cauchy-Riemann equations

검색결과 1건 처리시간 0.013초

FINITENESS OF INFINITESIMAL DEFORMATIONS OF CR MAPPINGS OF CR MANIFOLDS OF NONDEGENERATE LEVI FORM

  • Cho, Chung-Ki;Han, Chong-Kyu
    • 대한수학회지
    • /
    • 제39권1호
    • /
    • pp.91-102
    • /
    • 2002
  • Let M and N be CR manifolds with nondegenerate Levi forms of hypersurface type of dimension 2m + 1 and 2n + 1, respectively, where 1 $\leq$ m $\leq$ n. Let f : M longrightarrow N be a CR mapping. Under a generic assumption we construct a complete system of finite order for the infinitesimal deformations of f. In particular, we prove the space of infinitesimal deformations of f forms a finite dimensional Lie algebra.