Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Suchánek, Radek"'
Autor:
Suchánek, Radek
We investigate the landscape of generalized geometries that can be derived from Monge-Amp\`ere structures. Instead of following the approaches of Banos, Roubtsov, Kosmann-Schwarzbach, and others, we take a new path inspired by the results of Hu, Mora
Externí odkaz:
http://arxiv.org/abs/2305.04591
Autor:
Suchánek, Radek
We describe a family of generalized almost structures associated with a Monge-Amp\`ere equation for a stream function of 2D incompressible fluid flows. Using an indefinite metric field constructed from a pair of $2$-forms related to the Monge-Amp\`er
Externí odkaz:
http://arxiv.org/abs/2305.03580
Autor:
Suchánek, Radek, Hronek, Stanislav
Publikováno v:
HRONEK, Stanislav and Radek SUCH\'ANEK. PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES. Archivum Mathematicum. Brno: Masarykova univerzita, 2022, vol. 58, No 5, p. 329-338. ISSN 1212-5059
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 equati
Externí odkaz:
http://arxiv.org/abs/2305.03579
Autor:
Roubtsov, Volodya, Suchánek, Radek
Poisson algebras have become an essential topic in mathematics with a rich structure and wide applicability. Despite numerous resources available on Poisson structures, the algebraic side of the story remains relatively less explored. This paper pres
Externí odkaz:
http://arxiv.org/abs/2305.03578
Some Remarks on Multisymplectic and Variational Nature of Monge-Amp\`ere Equations in Dimension Four
Autor:
Suchánek, Radek
We describe a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Amp\`ere partial differential equations and first-order Lagrangians. This condition is based on comparing effective differen
Externí odkaz:
http://arxiv.org/abs/2305.02431
Autor:
SUCHÁNEK, RADEK
Publikováno v:
Stavba Detail; 2023, Issue 3, p12-13, 2p