PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.5817/AM2022-5-329 |
| Doi | http://dx.doi.org/10.5817/AM2022-5-329 |
| Keywords | Hessian structure; Lychagin-Rubtsov metric; Monge-Ampere structure; Monge-Ampere equation; Plucker embedding |
| Description | We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampere structures on four dimensional $T^*M$. We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker 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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