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math.DG2023★ 1 cited
Pseudo-Riemannian and Hessian Geometry Related to Monge-Ampère Structures
Radek Suchánek, Stanislav Hronek
We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four-dimensional . We describe a family of Ricci flat solutions, which are parame…
math.DG2019
Weak inverse problem of calculus of variations for geodesic mappings and relation to harmonic maps
Stanislav Hronek
In this paper, we study the relation between geodesic and harmonic mappings. Harmonic mappings are defined between Riemannian manifolds as critical points of the energy functional,…