The upper bound for the first positive eigenvalue of Sub-Laplacian on a compact strictly pseudoconvex hypersurface

被引：0

作者：

Lin, Guijuan ^{[1
]}

Long, Sujuan ^{[2
]}

Zhang, Qiqi ^{[3
]}

机构：

[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China

[2] Minjiang Univ, Sch Comp & Data Sci, Fuzhou 350108, Peoples R China

[3] Nanchang Hangkong Univ, Sch Math & Imformat Sci, Nanchang 330063, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 09期

基金：

中国国家自然科学基金;

关键词：

sub-Laplacian; upper bound; the first positive eigenvalue; compact real hypersurfaces; ellipsoids; KOHN-LAPLACIAN; OBATA THEOREM; SHARP UPPER; CURVATURE; MANIFOLDS;

D O I：

10.3934/math.20241239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (M2n+1, theta) be a compact strictly pseudoconvex real hypersurfaces equipped with the pseudohermitian structure theta, and lambda 1 be the first positive eigenvalue of sub-Laplacian triangle b on (M2n+1, theta). In this paper, we will give the upper bound of lambda 1 under certain conditions that "Re triangle b rho j + rho j<overline> 2 triangle rho rho j + partial derivative rho 2 rho n-1 rho k rho jk <= 0 (for some j)" or "rho jk<overline> = delta jk" holds, and apply these results to the ellipsoids furthermore.

引用

页码：25376 / 25395

页数：20

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