Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn

Abstract

In this paper, we give necessary and sufficent conditions for n(n+1)/2 positive real numbers φij and θij to be dihedral angles and edge lengths of an n−simplex having spacelike faces with codimensions 1 and 2 in de Sitter space

Keywords

• Edge matrix, simplices, hyperbolic space, edge length, de Sitter

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