∗-Conformal η-Ricci soliton on Sasakian manifold

DOI10.1142/S1793557122500358MaRDI QIDQ5064382

Soumendu Roy, Santu Dey, Shyamal Kumar Hui, Arindam Bhattacharyya

Publication date: 15 March 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01318

zbMATH Keywords

Sasakian manifold\( \eta \)-Einstein manifold\( \eta \)-Ricci solitonconformal \(\eta \)-Ricci soliton\( \ast \)-Ricci soliton\( \ast \)-conformal \(\eta \)-Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15) Conformal structures on manifolds (53C18)

Related Items (16)

Characterization of general relativistic spacetime equipped with \(\eta \)-Ricci-Bourguignon soliton ⋮ Sasakian manifolds admitting \(\ast\)-\(\eta\)-Ricci-Yamabe solitons ⋮ Geometry of para-Sasakian metric as an almost 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 of conformal \(\eta \)-Einstein solitons on trans-Sasakian 3-manifold ⋮ $*$-conformal $\eta-$Ricci solitons on $\epsilon-$para Sasakian manifolds ⋮ Applications of some types of solitons within the framework of Kählerian spacetime manifolds ⋮ Geometry of almost contact metrics as a ∗-conformal Ricci–Yamabe solitons and related results ⋮ Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry ⋮ A study of critical point equation and *-critical point equation on Sasakian manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Geometry of conformal \(\eta\)-Ricci solitons and conformal \(\eta\)-Ricci almost solitons on paracontact geometry ⋮ Certain results of \(\kappa\)-almost gradient Ricci-Bourguignon soliton on pseudo-Riemannian manifolds

Cites Work

• \(^*\)-Ricci solitons of real hypersurfaces in non-flat complex space forms
• On almost-analytic vectors in almost-Kählerian manifolds
• Ricci solitons and real hypersurfaces in a complex space form
• Real hypersurfaces of complex space forms in terms of Ricci *-tensor.
• Three-manifolds with positive Ricci curvature
• SOME TYPES OF η-RICCI SOLITONS ON LORENTZIAN PARA-SASAKIAN MANIFOLDS
• An introduction to conformal Ricci flow
• ∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold
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