Overtwisted Energy-minimizing Curl Eigenfields
نویسندگان
چکیده
We consider energy-minimizing divergence-free eigenfields of the curl operator in dimension three from the perspective of contact topology. We give a negative answer to a question of Etnyre and the first author by constructing curl eigenfields which minimize L energy on their co-adjoint orbit, yet are orthogonal to an OVERTWISTED contact structure. We conjecture that K-contact structures on S-bundles always define TIGHT minimizers, and prove a partial result in this direction.
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