Curvature estimates for four-dimensional gradient steady Ricci solitons
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Publication:2303802
DOI10.1007/s12220-019-00152-zzbMath1444.53036arXiv1411.3631OpenAlexW2963735230WikidataQ128504267 ScholiaQ128504267MaRDI QIDQ2303802
Publication date: 5 March 2020
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.3631
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)
Related Items
CURVATURE ESTIMATES FOR GRADIENT EXPANDING RICCI SOLITONS, Curvature estimates for 4-dimensional complete gradient expanding Ricci solitons, Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio, Four-dimensional complete gradient shrinking Ricci solitons, Geometry of gradient Yamabe solitons, Volume growth estimates of gradient Ricci solitons, Curvature growth of some 4-dimensional gradient Ricci soliton singularity models
Cites Work
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- On volume growth of gradient steady Ricci solitons
- The evolution of the Weyl tensor under the Ricci flow
- On complete gradient shrinking Ricci solitons
- On Ricci solitons of cohomogeneity one
- Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons
- Strong uniqueness of the Ricci flow
- Some new examples of non-Kähler Ricci solitons
- Comparison geometry for the Bakry-Emery Ricci tensor
- A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
- Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
- Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
- On the potential function of gradient steady Ricci solitons
- On gradient Ricci solitons
- Rigidity of gradient Ricci solitons
- A family of steady Ricci solitons and Ricci-flat metrics
- On four-dimensional anti-self-dual gradient Ricci solitons
- Rotational symmetry of self-similar solutions to the Ricci flow
- Rotational symmetry of Ricci solitons in higher dimensions
- Bach-flat gradient steady Ricci solitons
- Geometry of shrinking Ricci solitons
- A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons
- Recent Progress on Ricci Solitons
- New Examples of Complete Ricci Solitons
- On locally conformally flat gradient steady Ricci solitons
- Existence of Gradient Kahler-Ricci Solitons