Lempert mappings and symplectic forms

Lempert mappings and symplectic forms
HTML articles powered by AMS MathViewer

by Zoltan Balogh and Christoph Leuenberger PDF

Proc. Amer. Math. Soc. 125 (1997), 3289-3292 Request permission

We use Lempert’s version of Riemann mapping to construct non-equivalent symplectic forms on an ellipsoid in $\textbf {C}^n$.

References

B. Aebischer, M. Borer, M. Kälin, Ch. Leuenberger, and H. M. Reimann, Symplectic geometry, Progress in Mathematics, vol. 124, Birkhäuser Verlag, Basel, 1994. An introduction based on the seminar in Bern, 1992. MR 1296462, DOI 10.1007/978-3-0348-7512-7
Y. Eliashberg, M. Gromov, Convex Symplectic Manifolds, Proceedings of Symposia in Pure Mathematics, 52 (1991), pp. 135-161.
László Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), no. 4, 427–474 (French, with English summary). MR 660145
D. McDuff, D. Salamon, Introduction to Symplectic Topology, Oxford Mathematical Monographs (1995).
Stephen Semmes, A generalization of Riemann mappings and geometric structures on a space of domains in $\textbf {C}^n$, Mem. Amer. Math. Soc. 98 (1992), no. 472, vi+98. MR 1113614, DOI 10.1090/memo/0472