195 citations · 627 across the 82 of their papers we have counts for
16 papers · 1 filter
Turing complete Navier-Stokes steady states via cosymplectic geometry
Søren Dyhr, Ángel González-Prieto, Eva Miranda +1
In this article, we construct stationary solutions to the Navier-Stokes equations on certain Riemannian -manifolds that exhibit Turing completeness, in the sense that they are c…
Cosymplectic Chern--Hamilton conjecture
Søren Dyhr, Ángel González-Prieto, Eva Miranda +1
In this paper, we study the Chern-Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible met…
On the existence of critical compatible metrics on contact -manifolds
Yoshihiko Mitsumatsu, Daniel Peralta-Salas, Radu Slobodeanu
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact -manifolds. More precisely, we show that a contact -manifold…
Optimal metrics for the first curl eigenvalue on 3-manifolds
Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
In this article we analyze the spectral properties of the curl operator on closed Riemannian 3-manifolds. Specifically, we study metrics that are optimal in the sense that they min…
Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds
Alberto Enciso, Antonio J. Fernández, Daniel Peralta-Salas
Given a function on a smooth Riemannian manifold without boundary, we prove that if is a non-degenerate critical point of , then a neighborhood of contains a f…
Contact structures and Beltrami fields on the torus and the sphere
Daniel Peralta-Salas, Radu Slobodeanu
We present new explicit tight and overtwisted contact structures on the (round) 3-sphere and the (flat) 3-torus for which the ambient metric is weakly compatible. Our proofs are ba…