TRANSLATION HYPERSURFACES WITH CONSTANT SCALAR CURVATURE INTO THE EUCLIDEAN SPACE

Barnabé Pessoa Lima; Newton Luís Santos; Paulo Alexandre Araújo Sousa

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TRANSLATION HYPERSURFACES WITH CONSTANT SCALAR CURVATURE INTO THE EUCLIDEAN SPACE

机译：具有恒定标量曲线的翻译超曲面到欧盟空间

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摘要

In this paper, a complete description of all translation hypersurfaces with constant scalar curvature in the Euclidean space is presented.

机译：在本文中，给出了对欧氏空间中标量曲率恒定的所有平移超曲面的完整描述。

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来源
《Israel Journal of Mathematics》 |2014年第2期|共15页
作者
Barnabé Pessoa Lima; Newton Luís Santos; Paulo Alexandre Araújo Sousa;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
TRANSLATION HYPERSURFACES; CONSTANT SCALAR CURVATURE; EUCLIDEAN SPACE;

机译：翻译超表面;恒定的标度曲面;欧式空间;

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专利

1. TRANSLATION HYPERSURFACES WITH CONSTANT SCALAR CURVATURE INTO THE EUCLIDEAN SPACE [J] . Barnabé Pessoa Lima, Newton Luís Santos, Paulo Alexandre Araújo Sousa Israel Journal of Mathematics . 2014,第Pta2期

机译：具有恒定标量曲线的翻译超曲面到欧盟空间
2. On compact hypersurfaces with constant scalar curvature in the Euclidean space [J] . Takashi Okayasu Kodai Mathematical Journal . 2005,第3期

机译：在欧氏空间中具有恒定标量曲率的紧致超曲面上
3. Translation Hypersurfaces with Constant S r Curvature in the Euclidean Space [J] . Paulo A.A. Sousa, Juscelino P. Silva, Barnabé P. Lima, Anais da Academia Brasileira de Ciencias . 2016,第4期

机译：欧氏空间中具有恒定S r曲率的平移超曲面
4. Could a foliation by constant mean curvature hypersurfaces cover the existence of most observers in our part of spacetime? [C] . Prado Martin-Moruno Spanish Relativity Meeting . 2011

机译：恒定平均曲率过度裂缝可能覆盖我们的时空中大多数观察者的存在吗？
5. Hypersurfaces of constant scalar curvatures in spheres [D] . Chang, Shaoping. 1992

机译：球面中标量曲率恒定的超曲面
6. Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space [O] . Wu-yi Hsiang, Zhen-huan Teng, Wen-ci Yu 1982

机译：3球体恒定平均曲率浸入欧氏4空间的示例
7. On complete hypersurfaces with constant mean and scalar curvatures in Euclidean spaces [O] . Núñez, Roberto Alonso 2016

机译：关于具有常数均值和标量曲率的完全超曲面欧几里德空间
8. Existence and regularity of constant mean curvature hypersurfaces in asymptotically flat spacetimes [R] . Iriondo, M. 1994

机译：渐近平坦时空中常平均曲率超曲面的存在性和正则性

TRANSLATION HYPERSURFACES WITH CONSTANT SCALAR CURVATURE INTO THE EUCLIDEAN SPACE

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