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Lempert mappings and symplectic forms

Author(s): Zoltan Balogh; Christoph Leuenberger
Journal: Proc. Amer. Math. Soc. 125 (1997), 3289-3292.
MSC (1991): Primary 32F05; Secondary 53C15
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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:

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 , Memoirs of the AMS, 98, Nr. 472 (1992). MR 92k:32046


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