关于球面空间中Neuberg-Pedoe不等式

Abstract

Abstract:

In this paper, the authors study the problem about geometric inequalities for two n-dimensional simplexes in the spherical space by the theory and method of distance geometry. The authors establish a form of the Neuberg-Pedoe inequality and a form of the Peng-Chang inequality in the spherical space.

Key words: Spherical space, Simplex, Volume, Circumradius, Inequality

CLC Number:

51K05

Cite this article

YANG Shi-Guo, QIAN Di, PAN Juan-Juan, WANG Wen. The Neuberg-Pedoe Inequality in the Spherical Space[J].Acta mathematica scientia,Series A, 2011, 31(5): 1282-1289.

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References

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The Neuberg-Pedoe Inequality in the Spherical Space

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