Almost Differentially Nondegenerate Nijenhuis Operators
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908272862167040 |
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| author | Akpan, Dinmukhammed |
| author_facet | Akpan, Dinmukhammed |
| contents | The paper is devoted to the study of Nijenhuis operators of arbitrary dimension $n$ in a neighborhood of a point at which the first $n-1$ coefficients of the characteristic polynomial are functionally independent, and the last coefficient (the determinant of the operator) is an arbitrary function. We prove a theorem on the general form of such Nijenhuis operators, and also obtain their complete description for the case in which the determinant has a nondegenerate singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11860 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost Differentially Nondegenerate Nijenhuis Operators Akpan, Dinmukhammed Differential Geometry The paper is devoted to the study of Nijenhuis operators of arbitrary dimension $n$ in a neighborhood of a point at which the first $n-1$ coefficients of the characteristic polynomial are functionally independent, and the last coefficient (the determinant of the operator) is an arbitrary function. We prove a theorem on the general form of such Nijenhuis operators, and also obtain their complete description for the case in which the determinant has a nondegenerate singularity. |
| title | Almost Differentially Nondegenerate Nijenhuis Operators |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.11860 |