PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES

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Authors

HRONEK Stanislav SUCHÁNEK Radek

Year of publication 2022
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

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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