Pre-Lagrangian Submanifolds in Contact Manifolds

2000/04/07 by Renyi Ma, Ma, Renyi · 1 citation
Mathematics · #35B40 #35B45 #35J60 #58C10 #58F05 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.DG #math.DS #msc:35B40 #msc:35B45 #msc:35J60 #msc:58C10 #msc:58F05

paper · pdf · doi:10.48550/arxiv.math/0004035

arxiv created 2000/04/07 · arxiv updated 2009/11/30

Abstract

In this paper we prove that there does not exists any closed Pre-Lagrangian submanifolds in any closed contact manifolds by using the J-holomorphic curves and Gromov's nonlinear Fredholm alternative.

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