Pseudo-Riemannian and Hessian Geometry Related to Monge-Amp\`ere Structures
Differential Geometry
2023-05-08 v1 Mathematical Physics
math.MP
Abstract
We study properties of pseudo-Riemannian metrics corresponding to Monge-Amp\`ere structures on four-dimensional . We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Pl\"ucker embedding equation. We also focus on pullbacks of the pseudo-metrics on two-dimensional and describe the corresponding Hessian structures.
Keywords
Cite
@article{arxiv.2305.03579,
title = {Pseudo-Riemannian and Hessian Geometry Related to Monge-Amp\`ere Structures},
author = {Radek Suchánek and Stanislav Hronek},
journal= {arXiv preprint arXiv:2305.03579},
year = {2023}
}