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pro vyhledávání: '"Brilleslijper, Ronen"'
Autor:
Brilleslijper, Ronen, Fabert, Oliver
In symplectic topology one uses elliptic methods to prove rigidity results about symplectic manifolds and solutions of Hamiltonian equations on them, where the most basic example is given by geodesics on Riemannian manifolds. Harmonic maps from surfa
Externí odkaz:
http://arxiv.org/abs/2412.16223
Autor:
Brilleslijper, Ronen, Fabert, Oliver
In $n$-dimensional classical field theory one studies maps from $n$-dimensional manifolds in such a way that classical mechanics is recovered for $n=1$. In previous papers we have shown that the standard polysymplectic framework in which field theory
Externí odkaz:
http://arxiv.org/abs/2404.12249
Autor:
Brilleslijper, Ronen, Fabert, Oliver
Hamiltonian Floer theory plays an important role for finding periodic solutions of Hamilton's equation, which can be seen as a generalization of Newton's equation. Generalizing Newton's equation to Laplace's equation with non-linearity, we show, buil
Externí odkaz:
http://arxiv.org/abs/2311.18485
Autor:
Brilleslijper, Ronen, Fabert, Oliver
It is the goal of this paper to present the first steps for defining the analogue of Hamiltonian Floer theory for covariant field theory, treating time and space relativistically. While there already exist a number of competing geometric frameworks f
Externí odkaz:
http://arxiv.org/abs/2204.05147
Akademický článek
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Autor:
Fabert, Oliver, Brilleslijper, Ronen
Publikováno v:
Fabert, O & Brilleslijper, R 2023, ' Regularized polysymplectic geometry and first steps towards Floer theory for covariant field theories ', Journal of Geometry and Physics, vol. 183, 104703, pp. 1-22 . https://doi.org/10.1016/j.geomphys.2022.104703
Journal of Geometry and Physics, 183:104703, 1-22. Elsevier
Journal of Geometry and Physics, 183:104703, 1-22. Elsevier
It is the goal of this paper to present the first steps for defining the analogue of Hamiltonian Floer theory for covariant field theory, treating time and space relativistically. While there already exist a number of competing geometric frameworks f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc890d5d6afb0c7957f4a3ae59af1b8f
http://arxiv.org/abs/2204.05147
http://arxiv.org/abs/2204.05147