4 papers
Generalized Geometries Constructed from Differential Forms on Cotangent Bundle
Radek Suchánek
We investigate the landscape of generalized geometries that can be derived from Monge-Ampère structures. Instead of following the approaches of Banos, Roubtsov, Kosmann-Schwarzbach…
Generalized Geometry of 2D Incompressible Fluid Flows
Radek Suchánek
We describe a family of generalized almost structures associated with a Monge-Ampère equation for a stream function of 2D incompressible fluid flows. Using an indefinite metric fie…
Lectures on Poisson algebras
Volodya Roubtsov, Radek Suchánek
Poisson algebras have become an essential topic in mathematics with a rich structure and wide applicability. Despite numerous resources available on Poisson structures, the algebra…
Some Remarks on Multisymplectic and Variational Nature of Monge-Ampère Equations in Dimension Four
Radek Suchánek
We describe a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Ampère partial differential equations and first-order…