Simons type formulas for surfaces in Sol3 and applications

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2022-05-02 DOI:10.1142/s1664360723500078

D. Fetcu

引用次数: 0

Abstract

We compute the Laplacian of the squared norm of the second fundamental form of a surface in Sol_3 and then use this Simons type formula to obtain some gap results for compact constant mean curvature surfaces of this space.

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Sol3表面的Simons型公式及其应用

我们计算了Sol_3中曲面的第二种基本形式的平方范数的拉普拉斯式，然后利用该Simons式公式得到了该空间中紧致常平均曲率曲面的一些间隙结果。

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 Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.