Quotients of the crown domain by a proper action of a cyclic group
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Abstract:
Let $G/K$ be an irreducible Riemannian symmetric space of the non-compact type and denote by $\Xi$ the associated crown domain. We show that for any proper action of a cyclic group $\Gamma$ the quotient $\Xi /\Gamma$ is Stein. An analogous statement holds true for discrete nilpotent subgroups of a maximal split-solvable subgroup of $G$. We also show that $\Xi$ is taut.References
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Additional Information
- Sara Vitali
- Affiliation: Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, via della Ricerca Scientifica 1, 00133 Roma, Italy
- Email: vitali@mat.uniroma2.it
- Received by editor(s): August 9, 2012
- Received by editor(s) in revised form: November 3, 2012
- Published electronically: February 6, 2014
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 3227-3239
- MSC (2010): Primary 32E10
- DOI: https://doi.org/10.1090/S0002-9947-2014-06006-6
- MathSciNet review: 3180745