Geometry of quaternionic hyperbolic manifolds

By Inkang Kim, John R. Parker. Mathematical Proceedings of the Cambridge Philosophical Society, 2003

91 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/32ca010b2889a71777aabedb42d5ed8d122a7f07

How researchers see this paper

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In Applied Mathematics

1. Jinggang Tan
2. Mar'ia de Mar Gonz'alez
3. D. Monticelli
4. Rupert L. Frank
5. M. Fall
6. Enrico Valdinoci
7. Raffaella Servadei
8. Giovanni Molica Bisci

In Geometry and Topology

1. Mar'ia de Mar Gonz'alez
2. Rupert L. Frank
3. D. Monticelli
4. Jinggang Tan

Citations in the corpus

• An extension problem for the CR fractional Laplacian (2013, background): “In the paper [52] the quaternionic hyperbolic space Hm Q of quaternionic dimension m is characterized as a Siegel domain with boundary Qn; we give here the main details of this construction.”