Mathematics – Differential Geometry
Scientific paper
1999-05-12
Selected Topics in Cauchy-Riemann Geometry (S. Dragomir ed.), Quaderni di Matematica, 9 (2001) 99-123.
Mathematics
Differential Geometry
25pages
Scientific paper
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.
Cheng Jih-Hsin
Chiu Hung-Lin
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