Compact almost Ricci solitons with constant scalar curvature are gradient
From MaRDI portal
Publication:2449428
DOI10.1007/s00605-013-0581-3zbMath1296.53092arXiv1209.2720OpenAlexW2031589045MaRDI QIDQ2449428
Publication date: 8 May 2014
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.2720
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (46)
Geometry of almost Ricci solitons on paracontact metric manifolds ⋮ On the rigidity of harmonic-Ricci solitons ⋮ Some results on \(h\)-almost Ricci solitons ⋮ Some results on almost Ricci solitons and geodesic vector fields ⋮ Some curvature identities on an almost conformal gradient shrinking RICCI soliton ⋮ Characterizations of immersed gradient almost Ricci solitons ⋮ On conformal solutions of the Yamabe flow ⋮ Rigidity of compact almost Ricci solitons and applications of Pohozaev-Schoen identity ⋮ Homogeneous Ricci almost solitons ⋮ Gradient generalized \(\eta\)-Ricci soliton and contact geometry ⋮ Rigidity results for Riemann and Schouten solitons ⋮ \(f\)-Kenmotsu metric as conformal Ricci soliton ⋮ Ricci almost solitons on semi‐Riemannian warped products ⋮ Existence of conformal Ricci soliton and characteristics of almost conformal Ricci solitons on Sasakian manifold ⋮ \(K\)-contact and \((k,\mu)\)-contact metric as a generalized \(\eta\)-Ricci soliton ⋮ Back to Almost Ricci Solitons ⋮ K-Contact and Sasakian metrics as Ricci almost solitons ⋮ Sasakian metrics as generalized \(\eta\)-Ricci soliton ⋮ Some characterizations of Lorentzian manifolds ⋮ A note on almost Ricci solitons ⋮ A new class of almost Ricci solitons and their physical interpretation ⋮ Almost Ricci solitons and \(K\)-contact geometry ⋮ Hitchin-thorpe inequality and Kaehler metrics for compact almost Ricci soliton ⋮ Certain contact metrics as Ricci almost solitons ⋮ On the geometry of Einstein-type structures ⋮ On generalized \(m\)-quasi-Einstein manifolds with constant scalar curvature ⋮ A new class of contact pseudo framed manifolds with applications ⋮ Last multipliers for Riemannian geometries, Dirichlet forms and Markov diffusion semigroups ⋮ On the \(h\)-almost Ricci soliton ⋮ Ricci almost solitons on three-dimensional manifolds with recurrent curvature ⋮ Ricci almost soliton and almost Yamabe soliton on Kenmotsu manifold ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ricci almost solitons and contact geometry ⋮ \(K\)-contact metrics as Ricci almost solitons ⋮ On generalized quasi-Einstein manifolds ⋮ A note on almost Ricci soliton and gradient almost Ricci soliton on para-Sasakian manifolds ⋮ Unnamed Item ⋮ Almost Ricci solitons isometric to spheres ⋮ Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold ⋮ Ricci almost solitons with associated projective vector field ⋮ Geometry of conformal \(\eta\)-Ricci solitons and conformal \(\eta\)-Ricci almost solitons on paracontact geometry ⋮ Certain triviality results for Ricci-Bourguignon almost solitons ⋮ CERTAIN RESULTS ON $\eta$-RICCI SOLITIONS AND ALMOST $\eta$-RICCI SOLITONS ⋮ A note on gradient generalized quasi-Einstein manifolds ⋮ On Bach almost solitons
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized quasi-Einstein manifolds with harmonic Weyl tensor
- Einstein spaces admitting a one-parameter group of conformal transformations
- Conformal transformations of compact Riemannian manifolds
- Some applications of the Hodge-de Rham decomposition to Ricci solitons
- Compact gradient shrinking Ricci solitons with positive curvature operator
- SOME GEOMETRIC ANALYSIS ON GENERIC RICCI SOLITONS
- Some characterizations for compact almost Ricci solitons
- Ricci almost solitons
- Scalar Curvature Functions in a Conformal Class of Metrics and Conformal Transformations
- Complete Riemannian Manifolds and Some Vector Fields
This page was built for publication: Compact almost Ricci solitons with constant scalar curvature are gradient
