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A Volume Function for CR Tetrahedra

Authors
  • Falbel, Elisha
Type
Preprint
Publication Date
Jul 14, 2009
Submission Date
Jul 14, 2009
Identifiers
arXiv ID: 0907.2305
Source
arXiv
License
Yellow
External links

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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