∗-η-Ricci Soliton within the Framework of Sasakian Manifold

DOI10.1080/1726037X.2020.1856339zbMath1499.53142OpenAlexW3120913774MaRDI QIDQ5029654

Santu Dey, Soumendu Roy

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2020.1856339

zbMATH Keywords

Sasakian manifold\( \eta \)-Einstein manifold\( \eta \)-Ricci soliton\( \ast \)-Ricci soliton\( \ast\)-\(\eta \)-Ricci solitongradient \(\ast\)-\(\eta\) 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)

Related Items (12)

Characterization of general relativistic spacetime equipped with \(\eta \)-Ricci-Bourguignon soliton ⋮ Sasakian manifolds admitting \(\ast\)-\(\eta\)-Ricci-Yamabe solitons ⋮ Geometry of almost contact metrics as an almost ∗-η-Ricci–Bourguignon solitons ⋮ \(\eta\)-\(\ast\)-Ricci solitons and paracontact geometry ⋮ Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds ⋮ 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 ⋮ 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 ⋮ Geometry of conformal \(\eta\)-Ricci solitons and conformal \(\eta\)-Ricci almost solitons on paracontact geometry ⋮ Almost \(\ast\)-\(\eta\)-Ricci solitons on Kenmotsu pseudo-Riemannian manifolds ⋮ 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
• Almost \(\eta\)-Ricci solitons in \((LCS)_n\)-manifolds
• 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
• ∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold
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