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The n-Dimensional Pedoe Inequality in the spherical space
YANG Shiguo 1 *,WANG Wen 2 #
1.School of Mathematics and Statistics, Hefei Normal University, Hefei 230601; School of Mathematical Sciences, Anhui University, Hefei 230039
2.School of Mathematics and Statistics, Hefei Normal University, Hefei 230601
*Correspondence author
#Submitted by
Subject:
Funding: Doctoral Programs Foundation of Education Ministry ofChina （No.20113401110009）
Opened online:11 February 2015
Accepted by: none
Citation: YANG Shiguo,WANG Wen.The n-Dimensional Pedoe Inequality in the spherical space[OL]. [11 February 2015] http://en.paper.edu.cn/en_releasepaper/content/4631632
 
 
In this paper, we study the problems about geometric inequalities for two n-dimensional simplexes in the n-dimensional spherical space. The Pedoe inequality and Peng-Chang inequality involving the edge-lengths of two simplexes in the n-dimensional spherical space are established. Additionally, we also obtain some new geometric inequalities for an n-dimensional simplex in the n-dimensional spherical space .
Keywords:spherical Space; simplex;edge-lengths;inequality
 
 
 

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