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Partial generalizations of some Conjectures in locally symmetric Lorentz spaces

Submit Time: 2017-11-23
Author: 孙忠洋 淮北师范大学 ;
Institute: 1.淮北师范大学; 2.浙江大学;

Abstracts

这篇文章中,首先给出了局部对称Lorentz空间中线性 Weingarten类空超曲面的数量曲率和平均曲率的关系。进而,我们研究了局部对称Lorentz空间中满足一定曲率的完备或者紧致线性 Weingarten类空超曲面,通过修改Cheng-Yau的算子,给出了一些新的估计。最终,我们在局部对称Lorentz空间中给出了一些猜想的部分推广。
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From: 孙忠洋
DOI:10.12074/201711.02631
Recommended references: 孙忠洋.(2017).Partial generalizations of some Conjectures in locally symmetric Lorentz spaces.[ChinaXiv:201711.02631] (Click&Copy)
Version History
[V1] 2017-11-23 16:15:03 chinaXiv:201711.02631V1 Download
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