On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons

DOI10.15330/CMP.13.2.460-474zbMath1494.53058arXiv2104.04791OpenAlexW3214808438WikidataQ114007000 ScholiaQ114007000MaRDI QIDQ5037411

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Publication date: 1 March 2022

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04791

zbMATH Keywords

trans-Sasakian manifoldEinstein soliton\(C\)-Bochner curvature tensor\( \eta \)-Einstein solitonCodazzi type Ricci tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (11)

Some results on $\eta$-Yamabe solitons in 3-dimensional trans-Sasakian manifold ⋮ Characterization of general relativistic spacetime equipped with \(\eta \)-Ricci-Bourguignon soliton ⋮ Kenmotsu metric as conformal \(\eta\)-Ricci soliton ⋮ Geometry of almost contact metrics as an almost ∗-η-Ricci–Bourguignon solitons ⋮ Characterization of almost \(\eta\)-Ricci-Yamabe soliton and gradient almost \(\eta\)-Ricci-Yamabe soliton on almost Kenmotsu manifolds ⋮ A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry ⋮ Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry ⋮ Notes on η‐Einstein solitons on para‐Kenmotsu manifolds ⋮ Unnamed Item ⋮ Certain results on gradient almost η -Ricci-Bourguignon soliton ⋮ Certain results of \(\kappa\)-almost gradient Ricci-Bourguignon soliton on pseudo-Riemannian manifolds

Cites Work

• A Kenmotsu metric as a conformal $\eta$-Einstein soliton

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