66 citations
- Lomonosov Moscow State UniversityRU8 papers
- Landau Institute for Theoretical PhysicsRU7 papers
- National Research University Higher School of EconomicsRU5 papers
- University of TwenteNL5 papers
- Institute for Information Transmission ProblemsRU4 papers
- University of CologneDE3 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU2 papers
- Russian Academy of SciencesRU2 papers
- Bauman Moscow State Technical UniversityRU1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- EN-FIST Centre of Excellence (Slovenia)SI1 paper
- Indian Institute of Technology BombayIN1 paper
4 papers · 1 filter
Osculating curves: around the Tait-Kneser Theorem
E. Ghys, S. Tabachnikov, V. Timorin
The Tait-Kneser theorem states that the osculating circles of a plane curve with monotonic curvature are pairwise disjoint and nested. We discuss this theorem and a number of its v…
Hamiltonian structures for general PDEs
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky +1
We sketch out a new geometric framework to construct Hamiltonian operators for generic, non-evolutionary partial differential equations. Examples on how the formalism works are pro…
Variational Poisson-Nijenhuis structures for partial differential equations
Valentina Golovko, Iosif Krasil'shchik, Alexander Verbovetsky
We explore variational Poisson-Nijenhuis structures on nonlinear PDEs and establish relations between Schouten and Nijenhuis brackets on the initial equation with the Lie bracket o…
On the integrability conditions for some structures related to evolution differential equations
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky
Using the result by D.Gessler (Differential Geom. Appl. 7 (1997) 303-324, DIPS-9/98, http://diffiety.ac.ru/preprint/98/09_98abs.htm), we show that any invariant variational bivecto…