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arXiv · 2503.11860

Almost Differentially Nondegenerate Nijenhuis Operators

Dinmukhammed Akpan
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Abstract

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.

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Dinmukhammed Akpan. 2025-03-14. Almost Differentially Nondegenerate Nijenhuis Operators. https://doi.org/10.1134/s106192082204001x

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