J-holomorphic curves with boundary in bounded geometry

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The fundamental properties of J-holomorphic curves depend on two inequalities: The gradient inequality gives a pointwise bound on the differential of a J-holomorphic map in terms of its energy. The cylinder inequality stipulates and quantifies the exponential decay of energy along cylinders of small total energy.We show these inequalities hold uniformly if the geometry of the target symplectic manifold and Lagrangian boundary condition is appropriately bounded.

Original languageAmerican English
Pages (from-to)767-809
Number of pages43
JournalJournal of Symplectic Geometry
Issue number3
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© by International Press of Boston, Inc. All rights reserved.


Dive into the research topics of 'J-holomorphic curves with boundary in bounded geometry'. Together they form a unique fingerprint.

Cite this