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Geometry of quaternionic hyperbolic manifolds

Published online by Cambridge University Press:  27 August 2003

INKANG KIM  and
JOHN R. PARKER
INKANG KIM
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151-742, Korea. e-mail: inkang@math.snu.ac.kr
JOHN R. PARKER
Affiliation:
Department of Mathematical Sciences, University of Durham, Durham DH1 3LE. e-mail: J.R.Parker@durham.ac.uk
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Abstract

We develop some of the basic theory of quaternionic hyperbolic geometry. We give necessary criteria for groups of quaternionic hyperbolic motions to be discrete. We give lower bounds on the volumes of cusped quaternionic hyperbolic manifolds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 2 , September 2003 , pp. 291 - 320
Copyright
2003 Cambridge Philosophical Society

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