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FINITE TYPE CONDITIONS ON REAL HYPERSURFACES WITH ONE DEGENERATE EIGENVALUE
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作者 Wei CHEN yingxiang CHEN wanke yin 《Acta Mathematica Scientia》 SCIE CSCD 2021年第6期1949-1958,共10页
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 fo... 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. 展开更多
关键词 pseudoconvex hypersuface finite type Levi form holomorphic vector field
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Mappings between balls with geometric and degeneracy rank two
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作者 Xiaoliang Cheng Shanyu Ji wanke yin 《Science China Mathematics》 SCIE CSCD 2019年第10期1947-1960,共14页
The paper is devoted to the study of rational proper holomorphic maps from the unit ball B^n to the unit ball B^N. We classify these maps with both the geometric rank and the degeneracy rank less than or equal to two.
关键词 proper HOLOMORPHIC maps HOLOMORPHIC classification GEOMETRIC RANK DEGENERACY RANK
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