Riemann-Christoffel流
Riemann-Christoffel flows
摘要：
本文提出了一种基于Riemann-Christoffel曲率张量的几何流，它在二维空间中与通常的Ricci流具有一些共同的特征。对于$n$维空间，这个新的流考虑了所有的组成部分的内在曲率。对于四维洛伦兹流形，发现爱因斯坦方程的解与物质的“爆炸”球相关联，以及作为Friedman-Roberson-Walker宇宙学模型是Riemann-Christoffel流的例子。可能的概括提到。
英文摘要：
A geometric flow based in the Riemann-Christoffel curvature tensor that in two dimensions has some common features with the usual Ricci flow is presented. For $n$ dimensional spaces this new flow takes into account all the components of the intrinsic curvature. For four dimensional Lorentzian manifolds it is found that the solutions of the Einstein equations associated to a "detonant" sphere of matter, as well, as a Friedman-Roberson-Walker cosmological model are examples of Riemann-Christoffel flows. Possible generalizations are mentioned.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
