Ricci solitons of three-dimensional Lorentzian Bianchi-Cartan-Vranceanu spaces
Murat Altunba\c{s}
TL;DR
This paper derives explicit formulas for homogeneous Ricci solitons within three-dimensional Lorentzian Bianchi-Cartan-Vranceanu spaces, advancing the understanding of their geometric structures.
Contribution
It provides the first explicit formulas for Ricci solitons in these specific Lorentzian spaces, filling a gap in geometric analysis.
Findings
Explicit formulas for Ricci solitons are obtained.
The results classify homogeneous Ricci solitons in these spaces.
New insights into the geometry of Lorentzian Bianchi-Cartan-Vranceanu spaces.
Abstract
Explicit formulae for homogenous Ricci solitons on three-dimensional Lorentzian Bianchi-Cartan-Vranceanu spaces are obtained.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds