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Uniform Estimates for the Constant Mean Curvature Solutions of the Vacuum Einstein Constraint Equations on Compact Manifolds

机译：关于常数平均曲率解的一致估计紧致流形上的真空爱因斯坦约束方程

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摘要

We give some uniform estimates for constant mean curvature solutions of theconformal vacuum Einstein constraint equations on compact manifolds. Existenceof those solutions was given in a paper by J. Isenberg.

机译：我们给出了紧流形上共形真空爱因斯坦约束方程的恒定平均曲率解的一些统一估计。这些解决方案的存在由J. Isenberg发表。

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Yan, Yu;
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年度 2007
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原文格式 PDF
正文语种 {"code":"en","name":"English","id":9}
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1. A Large Class of Non-Constant Mean Curvature Solutions of the Einstein Constraint Equations on an Asymptotically Hyperbolic Manifold [J] . Gicquaud R., Sakovich A. Communications in Mathematical Physics . 2012,第3期

机译：渐近双曲流形上爱因斯坦约束方程的一类非常数平均曲率解
2. A Large Class of Non-Constant Mean Curvature Solutions of the Einstein Constraint Equations on an Asymptotically Hyperbolic Manifold [J] . Romain Gicquaud, Anna Sakovich Communications in Mathematical Physics . 2012,第3期

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3. Constant mean curvature solutions of the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds [J] . Sakovich A. Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2010,第24期

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4. Geodesic mappings of compact quasi-Einstein spaces with constant scalar curvature [C] . V. Kiosak, A. Savchenko, A. Kamienieva International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2020

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5. The Einstein constraint equations on compact three-dimensional manifolds. [D] . Tcheng, Alexandra. 2011

机译：紧凑三维流形上的爱因斯坦约束方程。
6. Einstein Spaces in a Space of Constant Curvature [O] . Aaron Fialkow 1938

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7. A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold [O] . Romain Gicquaud, Anna Sakovich 2016

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Uniform Estimates for the Constant Mean Curvature Solutions of the Vacuum Einstein Constraint Equations on Compact Manifolds

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