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The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant
contact homology of Legendrian knots maximal Thurston-Bennequin invariant
2011/2/25
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...
Contact Homology of Orbit Complements and Implied Existence
Contact Homology of Orbit Complements Implied Existence
2011/1/19
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...
Existence of a capillary surface with prescribed contact angle in $M\times\R$
Capillary problem prescribed mean curvature M × R
2011/2/28
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...