Some Metric Problems in Non-Euclidean Elliptic Geometries
Received:January 08, 2001  
Key Words: elliptic germetry   metric equation   high dimensional theory of cosine.  
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Author NameAffiliation
ZUO Quan-ru Dept. of Math.
Yangzhou University
Jiangsu
China 
HUA Dong-ying Dept. of Math.
Yangzhou University
Jiangsu
China 
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Abstract:
      In this paper, we discuss some geometric problems in n dimensional elliptic space Sn to give the theory of cosine, the formula of highness, inradius, circumradius and distance between inscribed spherical centre and circumscribed spherical centre about n dimensional spherical simplex. Meanwhile, we extend the famous Euler inequality into n the dimensional ellptic space Sn.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.04.015
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