Regular multi-types on some pseudoconvex hypersurfaces

被引：0

作者：

Chen, Wei ^{[1
]}

Hu, Tianzhi ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 02期

关键词：

Pseudoconvexity; Levi form; Finite type; Holomorphic vector field; REAL HYPERSURFACES; MANIFOLDS; CONTACT;

D O I：

10.1016/j.jmaa.2023.127447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a smooth pseudoconvex real hypersurface in Cn+1 with smooth defining function & rho; and p & ISIN; M. Assume that the Levi form partial differential partial differential & rho; has at least n - k positive eigenvalues at p with k < n. For an integer s & ISIN; [k, n], we show that the regular contact type a(s)(M, p), the commutator type t(s)(M, p) and the Levi form type c(s)(M, p) of the real hypersurface are the same.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：22

共 25 条

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