关于紧致流形上的几何黑洞
On a geometric black hole of a compact manifold
摘要：
利用n维紧致连通闭流形M上的光滑三角剖分和黎曼度量，我们得到了：每个这样的流形M都可以表示为n维胞腔与三角剖分的某些次单形的连通并K的并。K的一个足够小的封闭邻域称为几何黑洞。任何光滑的张量场T（或其他结构）都可以变形为连续的、截面光滑的张量场T1，其中T1在黑洞之外具有非常简单的结构。
英文摘要：
Using a smooth triangulation and a Riemannian metric on a compact, connected, closed manifold M of dimension n we have got that every such M can be represented as a union of a n-dimensional cell and a connected union K of some subsimplexes of the triangulation. A sufficiently small closed neighborhood of K is called a geometric black hole. Any smooth tensor field T (or other structure) can be deformed into a continuous and sectionally smooth tensor field T1 where T1 has a very simple construction out of the black hole.
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。
