Null hypersurfaces in Lorentzian manifolds with the null energy condition

Akamine Shintaro; Honda Atsufumi; Umehara Masaaki; Yamada Kotaro

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Null hypersurfaces in Lorentzian manifolds with the null energy condition

机译：带有零能量条件的Lorentzian歧管中的零高度缺陷

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Let M-1(n+1) be a light-like geodesically complete Lorentzian (n+ 1)-manifold satisfying the null energy condition. We show that null hypersurfaces properly immersed in M-1(n+1) are totally geodesic. (C) 2020 Elsevier B.V. All rights reserved.

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《Journal of geometry and physics》 |2020年第1期|共6页
作者
Akamine Shintaro; Honda Atsufumi; Umehara Masaaki; Yamada Kotaro;
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作者单位

Nihon Univ Coll Bioresource Sci Dept Liberal Arts 1866 Kameino Fujisawa Kanagawa 2520880 Japan;

Yokohama Natl Univ Fac Engn Dept Appl Math 79-5 Tokiwadai Yokohama Kanagawa 2408501 Japan;

Tokyo Inst Technol Dept Math &

Comp Sci Tokyo 1528552 Japan;

Tokyo Inst Technol Dept Math Tokyo 1528551 Japan;

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原文格式 PDF
正文语种 eng
中图分类数学物理方法;几何、拓扑;
关键词
Null hypersurface; Space-time; Lorentzian manifold; Null energy condition (NEC);

机译：NULL Hypringsurface;时空;Lorentzian歧管;空能量条件（NEC）;

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1. Null hypersurfaces in Lorentzian manifolds with the null energy condition [J] . Akamine Shintaro, Honda Atsufumi, Umehara Masaaki, Journal of geometry and physics . 2020,第1期

机译：带有零能量条件的Lorentzian歧管中的零高度缺陷
2. Some integrations on null hypersurfaces in Lorentzian manifolds [J] . Fortun′e Massamba, Samuel Ssekajja Bulletin of the Korean Mathematical Society . 2019,第1期

机译：洛伦兹流形中零超曲面的一些积分
3. Chena??s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold [J] . Karimumuryango Ménédore Journal of inequalities and applications . 2018,第1期

机译：洛伦兹流形零超曲面上的Chena Ricci不等式和拓扑障碍
4. Null hypersurfaces with finite curvature flux and a breakdown criterion in General Relativity [C] . Sergiu Klainerman Conference on Perspectives in Nonlinear Partial Differential Equations . 2007

机译：具有有限曲率通量的空关高度和一般相对性的击穿标准
5. The Quantum Focussing Conjecture and Quantum Null Energy Condition [D] . Koeller, Jason. 2017

机译：量子聚焦猜想和量子零能量条件
6. Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold [O] . Karimumuryango Ménédore -1

机译：洛伦兹流形的零超曲面上的陈氏Ricci不等式和拓扑障碍
7. Null hypersurfaces evolved by their mean curvature in a Lorentzian manifold [O] . Samuel Ssekajja 2019

机译：零下过的距离在洛伦西亚歧管中的平均曲率发展

Null hypersurfaces in Lorentzian manifolds with the null energy condition

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