Journal of Operator Theory

Volume 43, Issue 2, Spring 2000 pp. 223-242.

Sub-Riemannian metrics for quantum Heisenberg manifolds

Authors: Nik Weaver
Author institution: Department of Mathematics, Washington University, St. Louis, MO 63130, USA

Summary: Every Heisenberg manifold carries a natural ``sub-Riemannian'' metric with interesting properties. We describe the corresponding noncommutative metric structure for Rieffel's quantum Heisenberg manifolds ([12]).

Keywords: Noncommutative metrics, Heisenberg manifolds, deformation quantization

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