Exponential decay of $J$-holomorphic maps with finite energy

Abstract

We prove that every finite energy $J$-holomorphic map $u(s,t):\mathbb{R}\times S^1\to \mathbb{R}\times \tilde{M}$ exponentially converges to a periodic orbit of Reeb vector field of $\tilde{M},$ as $s\to \infty .$

This paper has been withdrawn by the authors. As pointed out to us by Richard Siefring that Theorem 1.2 is incorrect. We are sincerely grateful to him

References in corpus (3)

• Analysis of contact Cauchy-Riemann maps II: canonical neighborhoods and exponential convergence for the Morse-Bott case
• The Exponential Decay of Gluing Maps for $J$-Holomorphic map Moduli Spaces
• Relative Invariants, Contact Geometry and Open String Invariants

Cited by in corpus (1)

• Contact Invariants, Open String Invariants and Weinstein Conjecture