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Lempert mappings and symplectic forms


Authors: Zoltan Balogh and Christoph Leuenberger
Journal: Proc. Amer. Math. Soc. 125 (1997), 3289-3292
MSC (1991): Primary 32F05; Secondary 53C15
DOI: https://doi.org/10.1090/S0002-9939-97-03990-7
MathSciNet review: 1416075
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Abstract: We use Lempert's version of Riemann mapping to construct non-equivalent symplectic forms on an ellipsoid in $\textbf {C}^n$.


References [Enhancements On Off] (What's this?)

  • 1. B. Aebischer, M. Borer, M. Kaelin, Chr. Leuenberger, H.M. Reimann, Symplectic Geometry, Progress in Mathematics, 124, Birkhaeuser 1994. MR 96a:58082
  • 2. Y. Eliashberg, M. Gromov, Convex Symplectic Manifolds, Proceedings of Symposia in Pure Mathematics, 52 (1991), pp. 135-161.
  • 3. L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France, 109 (1981), pp. 427-474. MR 84d:32036
  • 4. D. McDuff, D. Salamon, Introduction to Symplectic Topology, Oxford Mathematical Monographs (1995). CMP 96:08
  • 5. S. Semmes, A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in $C^n$, Memoirs of the AMS, 98, Nr. 472 (1992). MR 92k:32046

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Additional Information

Zoltan Balogh
Affiliation: Mathematics Institute, University of Berne, Sidlerstrasse 5, 3012 Berne, Switzerland
Email: zoltan@math-stat.unibe.ch

Christoph Leuenberger
Affiliation: Mathematics Institute, University of Berne, Sidlerstrasse 5, 3012 Berne, Switzerland
Email: leuenb@math-stat.unibe.ch

DOI: https://doi.org/10.1090/S0002-9939-97-03990-7
Keywords: Symplectic forms, Lempert mappings, pseudoconvex domains.
Received by editor(s): May 20, 1996
Communicated by: Eric Bedford
Article copyright: © Copyright 1997 American Mathematical Society

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