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Conformal Geometry and Dynamics

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The Heisenberg group acts on a strictly convex domain

Author: Daryl Cooper
Journal: Conform. Geom. Dyn. 21 (2017), 101-104
MSC (2010): Primary 57M25, 57N10
Published electronically: February 7, 2017
MathSciNet review: 3605666
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Abstract: This paper gives the first example of a unipotent group that is not virtually abelian and preserves a strictly convex domain.

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Additional Information

Daryl Cooper
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
MR Author ID: 239760

Keywords: Manifold, projective geometry, cusp, Heisenberg group
Received by editor(s): August 22, 2016
Received by editor(s) in revised form: December 14, 2016
Published electronically: February 7, 2017
Additional Notes: The author was partially supported by NSF grants DMS 1065939, 1207068, 1045292 and acknowledges support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties” (the GEAR Network)
Article copyright: © Copyright 2017 American Mathematical Society