完全线性Weingarten类空间超曲面无迹第二基本形式范数的锐界

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-12-01 DOI:10.1007/s00013-024-02073-y

Jogli G. Araújo, Eudes L. de Lima, Henrique F. de Lima

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引用次数: 0

摘要

我们建立了完全线性Weingarten类空间超曲面在洛伦兹空间形式中满足合适的Okumura型不等式的无迹第二基本形式的范数的锐界。作为这些估计的结果，我们得到了关于洛伦兹空间形式的全脐类空间超曲面和双曲柱体的新的表征结果。

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Sharp bounds for the norm of the traceless second fundamental form of complete linear Weingarten spacelike hypersurfaces

We establish sharp bounds for the norm of the traceless second fundamental form of complete linear Weingarten spacelike hypersurfaces immersed in a Lorentzian space form and satisfying a suitable Okumura type inequality. As a consequence of these estimates, we derive new characterization results concerning totally umbilical spacelike hypersurfaces and hyperbolic cylinders of Lorentzian space forms.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.