%0 Journal Article
%T A Volume Function for CR Tetrahedra
%A Elisha Falbel
%J Mathematics
%D 2009
%I arXiv
%X We define a volume function on configurations of four points in the 3-sphere which is invariant under the action of PU(2,1), the automorphism group of the CR structure defined on the sphere by its embedding in complex 2-space. We show that the volume function, constructed using appropriate combinations of the dilogathm function of Bloch-Wigner, satisfies a five term relation in a more general context which includes at the same time CR and real hyperbolic geometry.
%U http://arxiv.org/abs/0907.2305v1