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Affine Yano and perturbed Yano–Ricci solitons on Lorentzian Lie groups
Electronic Research Archive 2026, 34(5): 3554-3572
Published: 15 May 2026
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In this paper, we defined affine Yano–Ricci solitons and perturbed Yano–Ricci solitons on three-dimensional Lorentzian Lie groups and obtain their complete classification. The major results indicated that all groups G 3 , , G 7 admit both affine Yano–Ricci solitons and their perturbed companions, whereas G 1 supports neither. As a corollary, we found that the Lorentzian Lie groups G 3 , G 5 , and G 6 are affine Einstein manifolds with respect to the Yano connection.

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