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arXiv · 0907.2305

A Volume Function for CR Tetrahedra

Elisha Falbel
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Abstract

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.

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Elisha Falbel. 2009-07-14. A Volume Function for CR Tetrahedra. https://arxiv.org/abs/0907.2305

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