Conformal Ricci solitons and related integrability conditions
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Publication:1707356
DOI10.1515/advgeom-2016-0012zbMath1388.53029arXiv1405.3169OpenAlexW2963137323MaRDI QIDQ1707356
Marco Rigoli, Giovanni Catino, Paolo Mastrolia, Dario Daniele Monticelli
Publication date: 29 March 2018
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.3169
Einstein metricintegrability conditionsgradient solitonconformal Einstein manifoldconformal Ricci soliton
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)
Related Items (8)
A potential generalization of some canonical Riemannian metrics ⋮ Four-dimensional closed manifolds admit a weak harmonic Weyl metric ⋮ Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) ⋮ A note on Killing fields and CMC hypersurfaces ⋮ Vanishing conditions on Weyl tensor for Einstein-type manifolds ⋮ The Ricci-Bourguignon flow ⋮ A conformal Yamabe problem with potential on the Euclidean space ⋮ Weyl scalars on compact Ricci solitons
Cites Work
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- The evolution of the Weyl tensor under the Ricci flow
- Einstein metrics on principal torus bundles
- On the classification of gradient Ricci solitons
- On complete gradient shrinking Ricci solitons
- Remarks on non-compact gradient Ricci solitons
- Yamabe-type equations on complete, noncompact manifolds
- Einstein spaces admitting a one-parameter group of conformal transformations
- On a classification of gradient shrinking solitons
- Ricci solitons: The equation point of view
- Existence and non-existence of homogeneous Einstein metrics
- Ricci solitons on compact three-manifolds
- Einstein metrics on principal fibre bundles
- A note on curvature of Riemannian manifolds
- Complete gradient shrinking Ricci solitons with pinched curvature
- On Bach-flat gradient shrinking Ricci solitons
- Gradient Ricci solitons with vanishing conditions on Weyl
- Rotational symmetry of self-similar solutions to the Ricci flow
- Einstein manifolds
- Conformal Einstein spaces in \(N\)-dimensions. II
- Obstructions to conformally Einstein metrics in \(n\) dimensions
- Bach-flat gradient steady Ricci solitons
- Analytic and geometric properties of generic Ricci solitons
- SOME GEOMETRIC ANALYSIS ON GENERIC RICCI SOLITONS
- ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
- Noncompact shrinking four solitons with nonnegative curvature
- A class of conformally Einstein metrics
- On the completeness of gradient Ricci solitons
- On locally conformally flat gradient steady Ricci solitons
- A moduli curve for compact conformally-Einstein Kähler manifolds
- Conformal Einstein spaces in \(n\)-dimensions
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