关于伪黎曼空间形式中 CMC 三谐波超曲面的最小性和标量曲率

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-02-01 DOI:10.1007/s10231-023-01422-y

Li Du, Yong Luo

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引用次数: 0

摘要

在本文中，我们首先研究了伪黎曼空间形式中具有恒定平均曲率的三和超曲面的最小性，假设形状算子是可对角的。然后，我们证明这种非最小超曲面具有恒定的标量曲率。作为其应用，我们估计了恒定标量曲率和恒定平均曲率。

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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On minimality and scalar curvature of CMC triharmonic hypersurfaces in pseudo-Riemannian space forms

In this paper, we first study the minimality of triharmonic hypersurfaces with constant mean curvature in pseudo-Riemannian space forms under the assumption that the shape operator is diagonalizable. Then, we prove that such nonminimal hypersurfaces have constant scalar curvature. As its applications, we estimate the constant scalar curvature and the constant mean curvature.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.