FIRST EIGENVALUE CHARACTERISATION OF CLIFFORD HYPERSURFACES AND VERONESE SURFACES

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-04-25 DOI:10.1017/s0004972724000273

PEIYI WU

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引用次数: 0

Abstract

We give a sharp estimate for the first eigenvalue of the Schrödinger operator

$L:=-\Delta -\sigma $

which is defined on the closed minimal submanifold

$M^{n}$

in the unit sphere

$\mathbb {S}^{n+m}$

, where

$\sigma $

is the square norm of the second fundamental form.

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clifford 超曲面和 veronese 曲面的第一特征值表征

我们给出了薛定谔算子$L:=-\Delta -\sigma $的第一个特征值的尖锐估计值，该算子定义在单位球$\mathbb {S}^{n+m}$ 中的封闭最小子球面$M^{n}$上，其中$\sigma $是第二基本形式的平方规范。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society