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We show that there exists a Legendrian knot with maximal Thurston-Bennequin invariant whose contact homology is trivial. We also provide another Legendrian knot which has the same knot type and classi...
For Reeb vector elds on closed 3-manifolds, cylindrical contact homology is used to show that the existence of a set of closed Reeb orbit with certain knotting/linking properties implies the existenc...
We study the prescribed mean curvature equation with a prescribed boundary contact angle condition in M × R where Mn is a Riemannian submanifold in Rn+1. The main purpose is to establish a priori gra...

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