Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910879944015872 |
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| author | Akpan, Dinmukhammed Oshemkov, Andrei |
| author_facet | Akpan, Dinmukhammed Oshemkov, Andrei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators Akpan, Dinmukhammed Oshemkov, Andrei Differential Geometry 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. |
| title | Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.11865 |