Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators
Akpan D. Oshemkov A.
December 2023Pleiades Publishing
Russian Journal of Mathematical Physics
2023#30Issue 4425 - 431 pp.
Abstract: 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 are dependent. The case is studied in which the differentials of all invariants of the Nijenhuis operator are proportional, as well as the case when two invariants are functionally independent and the third defines a fold-type singularity. In particular, new examples of three-dimensional Nijenhuis operators with singularities of the specified type are constructed. DOI 10.1134/S1061920823040015
Text of the article Перейти на текст статьи
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
Moscow Center of Fundamental and Applied Mathematics, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Faculty of Mechanics and Mathematics
Moscow Center of Fundamental and Applied Mathematics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026