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math.DG2023
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…
math.DG2018
Geometry and dynamics of Engel structures
Yoshihiko Mitsumatsu
The aim of this paper is to extend basic understanding of Engel structures through developing geometric constructions which are canonical to a certain degree and the dynamics of Ca…