Four‐dimensional gradient almost Ricci solitons with harmonic Weyl curvature
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DOI: 10.1002/mana.202000126
Abstract: In this article we make a classification of four‐dimensional gradient almost Ricci solitons with harmonic Weyl curvature. We prove first that any four‐dimensional (not necessarily complete) gradient almost Ricci soliton (M,g,f,λ) with harmonic Weyl curvature… read more here.
Keywords: four dimensional; almost ricci; dimensional gradient; gradient almost ... See more keywords
Some results on almost η-Ricci-Bourguignon solitons
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DOI: 10.1016/j.geomphys.2021.104316
Abstract: Abstract We determine a formula to compute the defining function of a gradient almost Ricci-Bourguignon soliton by means of the potential vector field, providing in this sense two examples. We also give a rigidity result… read more here.
Keywords: gradient almost; ricci bourguignon; results almost; bourguignon solitons ... See more keywords
∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds
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DOI: 10.1515/ms-2017-0321
Abstract: Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ… read more here.
Keywords: gradient almost; ricci solitons; soliton; almost ricci ... See more keywords
Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry
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DOI: 10.2989/16073606.2020.1799882
Abstract: Abstract The purpose of the present paper is to investigate the almost quasi-Yamabe soliton and gradient almost quasi-Yamabe solitons under the framework of three-dimensional normal almost paracontact metric manifolds. read more here.
Keywords: geometry; gradient almost; yamabe solitons; almost quasi ... See more keywords