Some Solitons on Homogeneous Almost α-Cosymplectic 3-Manifolds and Harmonic Manifolds

2023/01/06 by Pundeer, Naeem Ahmad, Ghosh, Paritosh, Shah, Hemangi Madhusudan +1
#53B40 #53C25 #53D15 #58B20 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2301.02430

Abstract

In this paper, we investigate the nature of Einstein solitons, whether it is steady, shrinking or expanding on almost α-cosymplectic 3-manifolds. We also prove that a simply connected homogeneous almost α-cosymplectic 3-manifold, admitting a contact Einstein soliton, is an unimodular semidirect product Lie group. Finally, we show that a harmonic manifold admits a Ricci soliton if and only if it is flat.

Related

• Nature of Some Solitons on Almost coKähler Manifolds and Asymptotically Harmonic Manifolds
• Homogeneous Ricci solitons
• Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons
• Homogeneous Ricci almost solitons
• Solitons of Kählerian space-time manifolds