32 citations
- Lomonosov Moscow State UniversityRU28 papers
- Institute of Terrestrial Magnetism Ionosphere and Radio Wave PropagationRU7 papers
- Moscow Center of Fundamental and Applied MathematicsRU7 papers
- Troitsk Institute for Innovation and Fusion ResearchRU7 papers
- Institute of Solar-Terrestrial PhysicsRU5 papers
- Institute of Mathematical Problems of BiologyRU4 papers
- Pulkovo ObservatoryRU4 papers
- St Petersburg UniversityRU4 papers
- Crimean Astrophysical ObservatoryUA3 papers
- National Research University Higher School of EconomicsRU3 papers
- Universidade Federal do ABCBR3 papers
- University of Beira InteriorPT3 papers
4 papers · 1 filter
Integrability of the magnetic geodesic flow on the sphere with a constant 2-form
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We prove a recent conjecture of Dragovic et al arXiv2504.20515 stating that the magnetic geodesic flow on the standard sphere whose magnetic 2-form is…
Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators
Dinmukhammed Akpan, Andrei Oshemkov
In the paper, three-dimensional Nijenhuis operators are studied that have differential singularities, i.e., such points at which the coefficients of the characteristic polynomials…
Almost Differentially Nondegenerate Nijenhuis Operators
Dinmukhammed Akpan
The paper is devoted to the study of Nijenhuis operators of arbitrary dimension in a neighborhood of a point at which the first coefficients of the characteristic polynom…
Singularities of two-dimensional Nijenhuis operators
Dinmukhammed Akpan
A Nijenhuis operator is a -tensor field on a smooth manifold with vanishing Nijenhuis torsion . At each point , the algebraic type of $L(x…