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FINITE TYPE CONDITIONS ON REAL HYPERSURFACES WITH ONE DEGENERATE EIGENVALUE

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【Author】 Wei CHEN;Yingxiang CHEN;Wanke YIN;School of Mathematics and Statistics, Wuhan University;

【通讯作者】尹万科;

【机构】 School of Mathematics and Statistics, Wuhan University；

【摘要】 Let M be a smooth pseudoconvex hypersurface in Cⁿ⁺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.更多还原

【Abstract】 Let M be a smooth pseudoconvex hypersurface in Cⁿ⁺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.更多还原

【关键词】 pseudoconvex hypersuface； finite type； Levi form； holomorphic vector field；
【Key words】 pseudoconvex hypersuface； finite type； Levi form； holomorphic vector field；

【基金】 supported in part by NSFC(12171372)

【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2021年06期

【分类号】O186.5
【下载频次】26

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