Abstract
AbstractIn this paper, we compute curvatures of Yano connections on three-dimensional Lorentzian Lie groups with some product structure. We define affine algebraic Ricci solitons associated to Yano connections and classify left-invariant affine algebraic Ricci solitons associated to Yano connections on three-dimensional Lorentzian Lie groups.
Publisher
Springer Science and Business Media LLC
Reference41 articles.
1. Akbar,M. M., Woolgar,E.: Ricci solitons and Einstein-Scalar field theory, Classical Quantum Gravity, 26(5) (2009), 055015, 14pp
2. Azami, S.: Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu connections. J. Nonlinear Math. Phys. 30, 1–33 (2023)
3. Baird, P., Danielo, L.: Three-dimensional Ricci solitons whichproject to surfaces. J. Reine Angew. Math. 608, 65–91 (2007)
4. Balogh, Z.M., Tyson, J.T., Vecchi, E.: Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group. Math. Z. 287, 1–38 (2017)
5. Batat, W.: Curvature properties and Ricci soliton of Lorentzian pr-waves manifolds. J. Geom. Phys. 75, 7–16 (2014)