非欧空间中n维Neuberg-Pedoe不等式

J4 ›› 2013, Vol. 51 ›› Issue (03): 408-413.

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nDimensional NeubergPedoe Inequalityin the Non-Euclid Space

YANG Shiguo^1,2, SUN Yuting³, BIAN Ge³

1. Teachers Educational Research Center, Hefei Normal University, Hefei 230061, China|2. Anhui Xinhua University, Hefei 230088, China;3. School of Mathematical Sciences, Anhui University, Hefei 230039, China

Received:2012-09-12 Online:2013-05-26 Published:2013-05-17
Contact: SUN Yuting E-mail:sunyuting2007@yahoo.com.cn

Abstract

Abstract:

We studied the problems about geometric inequalities for ndimensional simplex in the nonEuclid hyperbolic space and spherical space by the theory and method of distance geometry, and established the ndimensional NeubergPedoe inequalities for the volumes and edgelengths of two nsimplexes in the hyperbolic space and the spherical space.

Key words: hyperbolic space, spherical space, simplex, inequality

CLC Number:

O184

YANG Shi-Guo, SUN Yu-Ting, BIAN Ge. nDimensional NeubergPedoe Inequalityin the Non-Euclid Space[J].J4, 2013, 51(03): 408-413.

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nDimensional NeubergPedoe Inequalityin the Non-Euclid Space

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