scientific article; zbMATH DE number 7010443

zbMath1424.53045MaRDI QIDQ4614929

Krishanu Mandal, Uday Chand De

Publication date: 1 February 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol37-3/11.pdf

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zbMATH Keywords

Einstein manifoldgradient Ricci almost solitonRicci almost soliton\((k,\mu)\)-paracontact manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Characterizations of Ricci-Bourguignon almost solitons on pseudo-Riemannian manifolds ⋮ Unnamed Item ⋮ Some Ricci solitons on Kenmotsu manifold

Cites Work

• Homogeneous paracontact metric three-manifolds
• Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry
• Almost Ricci solitons and \(K\)-contact geometry
• Certain contact metrics as Ricci almost solitons
• Ricci solitons on three-dimensional \(\eta\)-Einstein almost Kenmotsu manifolds
• Paracontact metric manifolds without a contact metric counterpart
• From the Eisenhart problem to Ricci solitons in \(f\)-Kenmotsu manifolds
• Canonical connections on paracontact manifolds
• Ricci solitons in three-dimensional paracontact geometry
• Geometric structures associated to a contact metric \((\kappa ,\mu )\)-space
• Nullity conditions in paracontact geometry
• Ricci solitons and gradient Ricci solitons in a Kenmotsu manifold
• On 3-dimensional \(f\)-Kenmotsu manifolds and Ricci solitons
• Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds
• Geometry of $H$-paracontact metric manifolds
• Notes on contact Ricci solitons
• Ricci almost solitons
• Almost paracontact and parahodge structures on manifolds
• Non-existence of flat paracontact metric structures in dimension greater than or equal to five
• Local classification and examples of an important class of paracontact metric manifolds
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