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.
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页数：22
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