Abstract
For a discrete isometry group of complex hyperbolic space, we construct a distinguished contact form on the quotient of the domain of discontinuity (contained in the sphere at infinity) by the group, compatible with its strongly pseudoconvex CR structure. We compute the pseudo-Hermitian curvature and torsion of the contact form, and indicate an application.
Partly supported by the Grant-in-Aid for Scientific Research, The Ministry of Education, Science, Sports and Culture, Japan.
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© 1999 Birkhäuser Boston
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Nayatani, S. (1999). Discrete Groups of Complex Hyperbolic Isometries and Pseudo-Hermitian Structures. In: Komatsu, G., Kuranishi, M. (eds) Analysis and Geometry in Several Complex Variables. Trends in Mathematics. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2166-1_10
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DOI: https://doi.org/10.1007/978-1-4612-2166-1_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7441-4
Online ISBN: 978-1-4612-2166-1
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