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ArticleOriginal scientific text

Title

Symplectic Capacities in Manifolds

Authors 1

Affiliations

  1. Département de Mathématiques, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Suisse

Abstract

Symplectic capacities coinciding on convex sets in the standard symplectic vector space are extended to any subsets of symplectic manifolds. It is shown that, using embeddings of non-smooth convex sets and a product formula, calculations of some capacities become very simple. Moreover, it is proved that there exist such capacities which are distinct and that there are star-shaped domains diffeomorphic to the ball but not symplectomorphic to any convex set.

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Banach Center Publications
1997/39/1
Export to PBN, Opens in new tab
Pages:
77-87
Main language of publication
English
Published
1997
Exact and natural sciences