This analysis identifies Nijenhuis operators in thirteen types of three-dimensional leibniz algebras, indicating their structure and classification.
There are thirteen types of three-dimensional Leibniz algebras over the real field R based on the classification given by S. Ayupov, B. Omirov and I. Rakhimov in [Leibniz algebras: structure and classification. CRC Press, Boca Raton, FL, 2020]. In this paper, we investigate all the Nijenhuis operators on these thirteen types of three-dimensional Leibniz algebras.
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Ma et al. (2025) studied this question.
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