On four-dimensional steady gradient Ricci solitons that dimension reduce
From MaRDI portal
Publication:2143661
DOI10.1016/j.aim.2022.108367OpenAlexW3088481881MaRDI QIDQ2143661
Yuxing Deng, Bennett Chow, Zi-Lu Ma
Publication date: 31 May 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11456
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Ricci flows (53E20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)
Related Items (2)
On a dichotomy of the curvature decay of steady Ricci solitons ⋮ Volume growth estimates of gradient Ricci solitons
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth metric measure spaces with non-negative curvature
- Steady gradient Ricci soliton with curvature in \(L^1\)
- Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons
- Quotients of gravitational instantons
- ALE Ricci-flat Kähler metrics and deformations of quotient surface singularities
- The Harnack estimate for the Ricci flow
- Eternal solutions to the Ricci flow
- Curvature growth of some 4-dimensional gradient Ricci soliton singularity models
- Complete Ricci-flat Kähler manifolds of infinite topological type
- Strong uniqueness of the Ricci flow
- Regularity of Einstein manifolds and the codimension 4 conjecture
- Sharp logarithmic Sobolev inequalities on gradient solitons and applications
- Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
- The construction of ALE spaces as hyper-Kähler quotients
- A Torelli-type theorem for gravitational instantons
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
- Three-manifolds with positive Ricci curvature
- On gradient Ricci solitons
- Uniqueness of compact ancient solutions to three-dimensional Ricci flow
- Four-dimensional steady gradient Ricci solitons with 3-cylindrical tangent flows at infinity
- Rigidity of \(\kappa \)-noncollapsed steady Kähler-Ricci solitons
- Higher dimensional steady Ricci solitons with linear curvature decay
- On the rotational symmetry of 3-dimensional \(\kappa \)-solutions
- Classification of gradient steady Ricci solitons with linear curvature decay
- Rotational symmetry of self-similar solutions to the Ricci flow
- Remarks on Hamilton's compactness theorem for Ricci flow
- Rotational symmetry of Ricci solitons in higher dimensions
- Poisson equation on complete manifolds
- Ancient solutions to the Ricci flow in dimension \(3\)
- Asymptotic behavior of positively curved steady Ricci solitons
- Ends of Riemannian manifolds with nonnegative Ricci curvature outside a compact set
- The Ricci Flow: Techniques and Applications
- Noncompact shrinking four solitons with nonnegative curvature
- Area growth rate of the level surface of the potential function on the 3-dimensional steady gradient Ricci soliton
- Unique Asymptotics of Compact Ancient Solutions to <scp>Three‐Dimensional</scp> Ricci Flow
- Curvature estimates for steady Ricci solitons
- Three-dimensional Steady Gradient Ricci Solitons with Linear Curvature Decay
- On locally conformally flat gradient steady Ricci solitons
- A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature
- Compactness theory of the space of super Ricci flows
- Eguchi-Hanson singularities in \(U(2)\)-invariant Ricci flow
This page was built for publication: On four-dimensional steady gradient Ricci solitons that dimension reduce