四维不定空间中的一类曲面

A Kind of Surface in 4-Dimensional Indefinite Space Form

研究了四维伪双曲空间中的一类Marginally Trapped洛伦兹曲面,对具有平行平均曲率向量的这类曲面进行了分类,一共得到了6类曲面,为黑洞理论的研究提供了一定的理论支持.

A kind of Marginally Trapped Lorentz surfaces in 4-dimensional pse-hyperbolic space is studied.The surface with parallel mean curvature vector is classified,six kinds of surfaces are got,which could provide a theoretical support for the study of black hole theory.