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In this paper, we study the relations between a compact spacelike hypersurface with hy-perplanar boundary in the (n 1)- dimensional Minkowski space-time L^n 1 being totally umbilicaland its hyperplanar boundary in a fixed hyperplane π of L^(n 1) being totally umbilical under certainconditions. We give the sufficient conditions for such hypersurface and its hyperplanar boundary tobe totally umbilical in their respective ambients. 相似文献
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为了揭示双曲空间与欧氏空间的异同,在双曲空间中引进了双曲线的概念,并推导了双曲线的方程,进而研究了双曲线图像、渐近线和对称性等几何性质,最终所得结果较好地从一个侧面展示了双曲空间与欧氏空间的相异性. 相似文献
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讨论了R^3内高斯曲率K(s)为已给六次函数的旋转曲面的存在性问题,并给出了在定义域范围内这类曲面的位置向量场,该结果将陈霞研究结果中K(s)从四次函数提高到了六次函数. 相似文献
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