非光滑乘积的多重翘曲积
Multiply Warped Products with Non-Smooth Metrics
摘要：
本文研究了具有$C^{0}$-度量的流形和Lorentz多重翘曲积的性质。我们将内部Schwarzschild时空表示为一个具有弯曲函数的多重弯曲积时空，并研究了具有$C^0$-弯曲函数的多重弯曲积时空的曲率。对于形式为$M=(0,\ 2m)\times_{f_1}R^1\times_{f_2} S^2$的多重翘曲积，我们给出了用$f_1$，$f_2$表示的{\it{Ricci curvature}}。
英文摘要：
In this article we study manifolds with $C^{0}$-metrics and properties of Lorentzian multiply warped products. We represent the interior Schwarzschild space-time as a multiply warped product space-time with warping functions and we also investigate the curvature of a multiply warped product with $C^0$-warping functions. We given the {\it{Ricci curvature}} in terms of $f_1$, $f_2$ for the multiply warped products of the form $M=(0,\ 2m)\times_{f_1}R^1\times_{f_2} S^2$.
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