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FINITE TYPE CONDITIONS ON REAL HYPERSURFACES WITH ONE DEGENERATE EIGENVALUE

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摘要 Let M be a smooth pseudoconvex hypersurface in ℂ^(n+1) whose Levi form has at most one degenerate eigenvalue. For any tangent vector field L of type (1, 0), we prove the equality of the commutator type and the Levi form type associated to L. We also show that the regular contact type, the commutator type and the Levi form type of the real hypersurface are the same.
作者 Wei CHEN Yingxiang CHEN Wanke YIN 陈伟;陈颖祥;尹万科(School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2021年第6期1949-1958,共10页 数学物理学报(B辑英文版)
基金 The third author was supported in part by NSFC(12171372).
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