New variational and multisymplectic formulations of the Euler–Poincaré equation on the Virasoro–Bott group using the inverse map
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2018.0052
Abstract: We derive a new variational principle, leading to a new momentum map and a new multisymplectic formulation for a family of Euler–Poincaré equations defined on the Virasoro–Bott group, by using the inverse map (also called… read more here.
Keywords: bott group; euler poincar; virasoro bott; new variational ... See more keywords
Decomposing Euler-Poincaré Flow on the Space of Hamiltonian Vector Fields
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym15010023
Abstract: The main result of this paper is a matched-pair decomposition of the space of symmetric contravariant tensors TQ. From this procedure two complementary Lie subalgebras of TQ under mutual interaction arise. Introducing a lift operator,… read more here.
Keywords: space hamiltonian; hamiltonian vector; euler; euler poincar ... See more keywords