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arXiv · 2301.02430

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

Naeem Ahmad Pundeer·Paritosh Ghosh·Hemangi Madhusudan Shah·Arindam Bhattacharyya
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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.

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Naeem Ahmad Pundeer, Paritosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya. 2023-01-30. Some Solitons on Homogeneous Almost $α$-Cosymplectic $3$-Manifolds and Harmonic Manifolds. https://arxiv.org/abs/2301.02430

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