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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...