η-Ricci solitons in (ε)-almost paracontact metric manifolds

DOI10.3336/gm.53.1.14zbMath1407.53026arXiv1707.07528OpenAlexW2809674410MaRDI QIDQ3177791

Selcen Yüksel Perktaş, Adara M. Blaga, Bilal Eftal Acet, Feyza Esra Erdoğan

Publication date: 2 August 2018

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07528

zbMATH Keywords

Einstein-like manifold\(\eta\)-Ricci soliton\((\epsilon)\)-para Sasakian manifold\((\epsilon)\)-almost paracontact metric manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (24)

Some types of $f$-biharmonic and bi-$f$-harmonic curves ⋮ Ricci-like solitons with arbitrary potential and gradient almost Ricci-like solitons on Sasaki-like almost contact B-metric manifolds ⋮ Some results on paracontact metric $(k,\mu)$-manifolds with respect to the Schouten-van Kampen connection ⋮ Conformal \(\eta\)-Ricci-Yamabe solitons within the framework of \(\epsilon\)-LP-Sasakian 3-manifolds ⋮ Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds ⋮ Unnamed Item ⋮ Ricci-like solitons on almost contact B-metric manifolds ⋮ Unnamed Item ⋮ η-Ricci Solitons in δ-Lorentzian Trans Sasakian Manifolds with a Semi-symmetric Metric Connection ⋮ Geometric classifications of \(k\)-almost Ricci solitons admitting paracontact metrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(\eta\)-\(\ast\)-Ricci solitons and paracontact geometry ⋮ Unnamed Item ⋮ $*$-conformal $\eta-$Ricci solitons on $\epsilon-$para Sasakian manifolds ⋮ Ricci-like solitons with vertical potential on Sasaki-like almost contact B-metric manifolds ⋮ Unnamed Item ⋮ Harmonic Aspects in an $\eta$-Ricci Soliton ⋮ Unnamed Item ⋮ Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds ⋮ Unnamed Item ⋮ \(\eta \)-Ricci solitons in \(\epsilon \)-Kenmotsu manifolds ⋮ η-Ricci solitons on nearly Kenmotsu manifolds ⋮ Ricci–Yamabe solitons on a class of generalized Sasakian space forms

Cites Work

• Real hypersurfaces of indefinite Kähler manifolds
• Second order parallel tensor in real and complex space forms
• Indefinite almost paracontact metric manifolds
• Nonlinear models in \(2+\epsilon\) dimensions
• Three-manifolds with positive Ricci curvature
• Sasakian manifold with pseudo-Riemannian metric
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• On $(\varepsilon)$-para Sasakian 3-manifolds
• Ricci solitons and Einstein-scalar field theory
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