Homogeneous Cotton solitons
E. Calvi\~no-Louzao, L. M. Hervella, J. Seoane-Bascoy, R., V\'azquez-Lorenzo
TL;DR
This paper classifies homogeneous manifolds with left-invariant Cotton solitons and explores algebraic Cotton solitons, including examples beyond invariant cases in Riemannian and Lorentzian geometries.
Contribution
It provides a complete classification of homogeneous Cotton solitons and introduces new examples of non-invariant algebraic Cotton solitons in different geometric settings.
Findings
Classification of homogeneous Cotton solitons
Examples of non-invariant algebraic Cotton solitons
Analysis in both Riemannian and Lorentzian contexts
Abstract
Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in the Riemannian and Lorentzian homogeneous settings.
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