CONTACT TRANSFORMATIONS AS LIMITS OF SYMPLECTOMORPHISMS

Authors
KORANYI A REIMANN HM
Citation
A. Koranyi et Hm. Reimann, CONTACT TRANSFORMATIONS AS LIMITS OF SYMPLECTOMORPHISMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(12), 1994, pp. 1119-1124
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
12
Year of publication
1994
Pages
1119 - 1124
Database
ISI
SICI code
0764-4442(1994)318:12<1119:CTALOS>2.0.ZU;2-K
Abstract
The Bergman metric gives every smooth strongly pseudoconvex domain D a symplectic structure and a metric. The boundary partial derivative D has a contact structure and a metric derived from the Levi form. We st udy the relationships among these structures. Our main results concern extensions of quasiconformal deformations of partial derivative D to symplectic quasiconformal deformations of D.