The k-almost Ricci solitons and contact geometry
From MaRDI portal
Publication:4576514
zbMath1396.53071arXiv1801.04767MaRDI QIDQ4576514
Dhriti Sundar Patra, Amalendu Ghosh
Publication date: 12 July 2018
Full work available at URL: https://arxiv.org/abs/1801.04767
Reeb vector fieldgradient Ricci solitoncontact metric manifoldpotential vector field\(K\)-contact structure
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)
Related Items
Almost \(\eta \)-Ricci solitons on Kenmotsu manifolds ⋮ Geometric classifications of \(k\)-almost Ricci solitons admitting paracontact metrices ⋮ $\alpha$-Almost Ricci solitons on $(k,\mu)'$-almost Kenmotsu manifolds ⋮ A study of conformal almost Ricci solitons on Kenmotsu manifolds ⋮ Unnamed Item ⋮ RICCI SOLITONS AND RICCI ALMOST SOLITONS ON PARA-KENMOTSU MANIFOLD ⋮ Ricci solitons and paracontact geometry ⋮ Beta-almost Ricci solitons on almost CoKahler manifolds
Cites Work
- Unnamed Item
- Sasakian metric as a Ricci soliton and related results
- Generalized quasi-Einstein manifolds with harmonic Weyl tensor
- Certain contact metrics as Ricci almost solitons
- On the \(h\)-almost Ricci soliton
- Rigidity of quasi-Einstein metrics
- Characterizations and integral formulae for generalized \(m\)-quasi-Einstein metrics
- Contact metric manifolds with \(\eta \)-parallel torsion tensor
- Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
- Three-manifolds with positive Ricci curvature
- Contact metric manifolds whose characteristic vector field is a harmonic vector field
- A compact gradient generalized quasi-Einstein metric with constant scalar curvature
- Bach-flat \(h\)-almost gradient Ricci solitons
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- Connections between differential geometry and topology. I. Simply connected surfaces
- Einstein manifolds and contact geometry
- Some characterizations for compact almost Ricci solitons
- CONTACT GEOMETRY AND RICCI SOLITONS
- Ricci almost solitons
- Riemannian geometry of contact and symplectic manifolds