2 problems

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The K-contact energy-minimization conjecture for curl eigenforms
K-contact energy-minimization conjecture. The curl eigenform $\eta$ defined by a $K$ -contact structure is always energy-minimizing on $\Xi_\eta$ .
Conjectureopencontact-topology curl-eigenfields energy-minimizationarXiv posted 2 days ago
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The K-contact tight-minimizer conjecture for circle bundles
K-contact tight-minimizer conjecture. K-contact structures on $S^1$ -bundles always define tight minimizers.
Conjectureopencircle-bundles contact-topology curl-eigenfieldsarXiv posted 2 days ago

The K-contact energy-minimization conjecture for curl eigenforms