Buscar
Mostrando ítems 1-10 de 28
Local classification of singular hexagonal 3-webs with holomorphic Chern connection form and infinitesimal symmetries
(2014)
Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras ...
Gronwall's conjecture for 3-webs with infinitesimal symmetries
(Int Press Boston, Inc, 2020-01-01)
We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this ...
Gronwall's conjecture for 3-webs with infinitesimal symmetries
(2020-01-01)
We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this ...
On symmetries of singular implicit ODEs
(2014)
We study implicit ODEs, cubic in derivative, with infinitesimal symmetry at singular points. Cartan showed that even at regular points the existence of nontrivial symmetry imposes restrictions on the ODE. Namely, this ...
T-duality on nilmanifolds
(Springer, 2018-05)
We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called ...
Vortex pairs on surfaces
(Amer Inst Physics, 2009)
A pair of infinitesimally close opposite vortices moving on a curved surface moves along a geodesic, according to a conjecture by Kimura. We outline a proof. Numerical simulations are presented for a pair of opposite ...