R. Slobodeanu

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20242026

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math.DG2025

On the existence of critical compatible metrics on contact $3$ -manifolds

Yoshihiko Mitsumatsu, Daniel Peralta-Salas, Radu Slobodeanu

We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact $3$ -manifolds. More precisely, we show that a contact $3$ -manifold…

math.DG2024

BPS Skyrme models and contact geometry

Radu Slobodeanu, Martin Speight

A Skyrme type energy functional for maps $I ¨ $ from an oriented Riemannian 3-manifold $M$ to a contact 3-manifold $N$ is defined, generalizing the BPS Skyrme energy of Ferreira and…

On the existence of critical compatible metrics on contact 3-manifolds

BPS Skyrme models and contact geometry

On the existence of critical compatible metrics on contact $3$ -manifolds