\(\epsilon\)-regularity for shrinking Ricci solitons and Ricci flows
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Publication:1682508
DOI10.1007/s00039-017-0420-0zbMath1384.53045arXiv1707.05511OpenAlexW2963784988MaRDI QIDQ1682508
Publication date: 30 November 2017
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.05511
Integration on manifolds; measures on manifolds (58C35) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Related Items
A note on the extension of Ricci flow ⋮ Harmonic and Schrödinger functions of polynomial growth on gradient shrinking Ricci solitons ⋮ The entropy of Ricci flows with Type-I scalar curvature bounds ⋮ Finite diffeomorphism types of four dimensional Ricci flow with bounded scalar curvature ⋮ Global \(\epsilon \)-regularity for 4-dimensional Ricci flow with integral scalar curvature bound ⋮ Small curvature concentration and Ricci flow smoothing
Cites Work
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- Topology and \(\epsilon\)-regularity theorems on collapsed manifolds with Ricci curvature bounds
- On the classification of gradient Ricci solitons
- On complete gradient shrinking Ricci solitons
- Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons
- A compactness theorem for complete Ricci shrinkers
- On Calabi's conjecture for complex surfaces with positive first Chern class
- Ancient solutions to Kähler-Ricci flow
- Strong uniqueness of the Ricci flow
- Comparison geometry for the Bakry-Emery Ricci tensor
- Compactness theorems for gradient Ricci solitons
- A compactness result for Kähler Ricci solitons
- Regularity of Einstein manifolds and the codimension 4 conjecture
- Smoothing Riemannian metrics with bounded Ricci curvatures in dimension four
- On a classification of gradient shrinking solitons
- Deforming the metric on complete Riemannian manifolds
- The \(L^ 2\) structure of moduli spaces of Einstein metrics on 4- manifolds
- On the structure of spaces with Ricci curvature bounded below. III
- Local Sobolev constant estimate for integral Ricci curvature bounds
- Positively curved shrinking Ricci solitons are compact
- Regularity and compactness of harmonic-Einstein equations
- Bach-flat asymptotically locally Euclidean metrics
- On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
- Three-manifolds with positive Ricci curvature
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- On gradient Ricci solitons
- The structure of spaces with Bakry-Émery Ricci curvature bounded below
- Bounds on harmonic radius and limits of manifolds with bounded Bakry-Émery Ricci curvature
- Ricci curvature for metric-measure spaces via optimal transport
- Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature
- Moduli spaces of critical Riemannian metrics in dimension four
- Geometry of shrinking Ricci solitons
- The partial 𝐶⁰-estimate along the continuity method
- New Logarithmic Sobolev Inequalities and an ɛ-Regularity Theorem for the Ricci Flow
- Gravitational instantons from rational elliptic surfaces
- On the Conditions to Extend Ricci Flow(II)
- Space of Ricci Flows I
- A note on the compactness theorem for 4d Ricci shrinkers
- Convergence of Compact Ricci Solitons
- Degeneration of Shrinking Ricci Solitons
- Degeneration of Kähler–Ricci Solitons
- Curvature and injectivity radius estimates for Einstein 4-manifolds
- A Concentration-Collapse Decomposition forL2Flow Singularities
- Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
- Recent Progress on Ricci Solitons
- Noncompact shrinking four solitons with nonnegative curvature
- Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
- Geometric Structures of Collapsing Riemannian Manifolds I
- Some old and new results about rigidity of critical metric
