Ryohei Chihara

collaborators

3 papers

math.DG2023

Proximal algorithm and calibrated cycles

Ryohei Chihara

We sketch an application of proximal algorithms to the deformation of de Rham currents into cycles, which is presented as a convex optimization problem. Emphasis is placed on the u…

math.DG2018

$G_{2}$ -manifolds and the ADM formalism

Ryohei Chihara

In this paper we study a Hamiltonian function on the cotangent bundle of the space of Riemannian metrics on a 3-manifold $M$ and prove the orbits of the constrained Hamiltonian dyn…

math.DG2018

$G_{2}$ -metrics arising from non-integrable special Lagrangian fibrations

Ryohei Chihara

We study special Lagrangian fibrations of $SU (3)$ -manifolds, not necessarily torsion-free. In the case where the fiber is a unimodular Lie group $G$ , we decompose such $\m…

Proximal algorithm and calibrated cycles

G2​-manifolds and the ADM formalism

G2​-metrics arising from non-integrable special Lagrangian fibrations

$G_{2}$ -manifolds and the ADM formalism

$G_{2}$ -metrics arising from non-integrable special Lagrangian fibrations