1999/05/31 by Jih-Hsin Cheng, Hung-Lin Chiu
Mathematics · #math.DG #math.SG #msc:32G07 #msc:32F40 #msc:32C16
published as Selected Topics in Cauchy-Riemann Geometry (S. Dragomir ed.), Quaderni di Matematica, 9 (2001) 99-123. · 25pages
arxiv created 2000/03/29 · arxiv updated 2009/11/30
We propose the study of some kind of monopole equations directly associated with a contact structure. Through a rudimentary analysis about the solutions, we show that a closed contact 3-manifold with positive Tanaka-Webster curvature and vanishing torsion must be either not symplectically semifillable or having torsion Euler class of the contact structure.