Mathematical Proceedings of the Cambridge Philosophical Society



Geometry of quaternionic hyperbolic manifolds


INKANG KIM a1 1 and JOHN R. PARKER a2
a1 Department of Mathematics, Seoul National University, Seoul 151-742, Korea. e-mail: inkang@math.snu.ac.kr
a2 Department of Mathematical Sciences, University of Durham, Durham DH1 3LE. e-mail: J.R.Parker@durham.ac.uk

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.

(Received July 13 2001)
(Revised April 10 2002)



Footnotes

1 The first author gratefully acknowledges the partial support of KOSEF interdisciplinary grant 1999-2-101-002-5.