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arXiv · 2305.03579

Pseudo-Riemannian and Hessian Geometry Related to Monge-Amp\`ere Structures

Radek Suchánek·Stanislav Hronek
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Abstract

We study properties of pseudo-Riemannian metrics corresponding to Monge-Amp\`ere structures on four-dimensional $T^*M$. 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 $M$ and describe the corresponding Hessian structures.

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Radek Suchánek, Stanislav Hronek. 2023-05-05. Pseudo-Riemannian and Hessian Geometry Related to Monge-Amp\`ere Structures. https://doi.org/10.5817/am2022-5-329

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