Pre-Lagrangian Submanifolds in Contact Manifolds
classification
🧮 math.DG
math.DS
keywords
closedcontactmanifoldspre-lagrangiansubmanifoldsalternativecurvesexists
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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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