R. Komendarczyk

activity

20042026

most citedTightness in contact metric 3-manifolds

19 citations · 123 across the 26 of their papers we have counts for

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3 papers · 1 filter

math.DG2008★ 16 cited

The third order helicity of magnetic fields via link maps

R. Komendarczyk

We introduce an alternative approach to the third order helicity of a volume preserving vector field $B$ , which leads us to a lower bound for the $L^{2}$ -energy of $B$ . The proposed…

math.DG2006★ 5 cited

Tight Beltrami fields with symmetry

R. Komendarczyk

Let $M$ be a compact orientable Seifered fibered 3-manifold without a boundary, and $α$ an $S^{1}$ -invariant contact form on $M$ . In a suitable adapted Riemannian metric to $α$ , we p…

math.DG2004★ 12 cited

On the contact geometry of nodal sets

R. Komendarczyk

In the 3-dimensional Riemannian geometry, contact structures equipped with an adapted Riemannian metric are divergence-free, nondegenerate eigenforms of the Laplace-Beltrami operat…