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Compact Heisenberg manifolds as CR manifolds

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Abstract

Let M be the quotient of the Heisenberg group by a discrete co-compact subgroup, with the natural strongly pseudoconvex CR structure. We identify the eigenvalues and eigenforms of the Kohn Laplacians on M and show how to realize M as the boundary of a bounded domain in a line bundle over an Abelian variety.

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195-4350, Seattle, WA

    G. B. Folland

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  1. G. B. Folland
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Correspondence to G. B. Folland.

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Communicated by Steven Krantz

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Folland, G.B. Compact Heisenberg manifolds as CR manifolds. J Geom Anal 14, 521–532 (2004). https://doi.org/10.1007/BF02922102

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  • DOI: https://doi.org/10.1007/BF02922102

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