关于在洛伦兹空间形式中具有多项式体积增长的类空间超曲面不存在的注释

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-01-01 DOI:10.5817/am2022-3-169

H. D. de Lima

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引用次数: 0

摘要

在支持函数相对于固定的非零向量线性相关的假设下，得到了具有多项式体积增长的完全非紧类空间超曲面在洛伦兹空间形式下的不存在性结果。我们的方法基于Alías、Caminha和do Nascimento[3]最近建立的一个合适的最大值原则。

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A note on the nonexistence of spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form

We obtain nonexistence results concerning complete noncompact spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form, under the assumption that the support functions with respect to a fixed nonzero vector are linearly related. Our approach is based on a suitable maximum principle recently established by Alías, Caminha and do Nascimento [3].

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.