A Compactness Property for Solutions of the Ricci Flow
From MaRDI portal
Publication:4850787
DOI10.2307/2375080zbMath0840.53029OpenAlexW2043328930WikidataQ56430480 ScholiaQ56430480MaRDI QIDQ4850787
Publication date: 30 June 1996
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2375080
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (only showing first 100 items - show all)
Convergence of Ricci flows with bounded scalar curvature ⋮ On the long-time behavior of immortal Ricci flows ⋮ Conformal tori with almost non-negative scalar curvature ⋮ Stability and convergence of the Sasaki-Ricci flow ⋮ Bergman kernel along the Kähler-Ricci flow and Tian's conjecture ⋮ Immortal homogeneous Ricci flows ⋮ A Concentration-Collapse Decomposition forL2Flow Singularities ⋮ Lower bound of Ricci flow's existence time ⋮ On \(\kappa\)-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity ⋮ An equation linking \(\mathcal W\)-entropy with reduced volume ⋮ Collapsing irreducible 3-manifolds with nontrivial fundamental group ⋮ Rotationally symmetric Ricci flow on \(\mathbb{R}^{n + 1}\) ⋮ Ricci flow on open 4-manifolds with positive isotropic curvature ⋮ Local smoothing results for the Ricci flow in dimensions two and three ⋮ Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature ⋮ A gradient flow of isometric \(\text{G}_2\)-structures ⋮ On the structure of Ricci shrinkers ⋮ A note on singular time of mean curvature flow ⋮ Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics ⋮ Expanding solitons with non-negative curvature operator coming out of cones ⋮ A note on the almost-one-half holomorphic pinching ⋮ The ricci flow on radially symmetric R3 ⋮ On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow ⋮ Collapsing in the Einstein flow ⋮ On a dichotomy of the curvature decay of steady Ricci solitons ⋮ Scalar curvature and singular metrics ⋮ Book Review: The geometry of infinite-dimensional groups ⋮ The rigidity of \(\mathbb{S}^3 \times \mathbb{R}\) under ancient Ricci flow ⋮ Ricci flow on quasi-projective manifolds ⋮ The evolution of the Weyl tensor under the Ricci flow ⋮ The long time behavior of fourth order curvature flows ⋮ Mean curvature flow of area decreasing maps between Riemann surfaces ⋮ Space of Ricci flows. II. Part B: Weak compactness of the flows ⋮ How to produce a Ricci flow via Cheeger-Gromoll exhaustion ⋮ On complete noncompact Kähler manifolds with positive bisectional curvature ⋮ The conjugate heat equation and ancient solutions of the Ricci flow ⋮ The Calabi flow on Kähler surfaces with bounded Sobolev constant. I ⋮ Higher dimensional steady Ricci solitons with linear curvature decay ⋮ The Ricci flow on the two ball with a rotationally symmetric metric ⋮ Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates ⋮ Remarks on the extension of the Ricci flow ⋮ Yamabe flow and Myers type theorem on complete manifolds ⋮ A compactness theorem for complete Ricci shrinkers ⋮ The Kähler Ricci flow on Fano surfaces. I ⋮ Ricci Flow on Quasi Einstein Manifold ⋮ The convergence of the minimal positive fundamental solutions under Ricci flow ⋮ On the long-time behavior of type-III Ricci flow solutions ⋮ The Kähler-Ricci flow with positive bisectional curvature ⋮ Kähler-Ricci flow on stable Fano manifolds ⋮ Einstein and conformally flat critical metrics of the volume functional ⋮ The gradient flow of \(\int _M|Rm|^{2}\) ⋮ Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons ⋮ Graphical mean curvature flow ⋮ Perelman's entropy on ancient Ricci flows ⋮ Non-singular solutions to the normalized Ricci flow equation ⋮ Long-time behavior of 3-dimensional Ricci flow. A: Generalizations of Perelman's long-time estimates ⋮ Injectivity radius of Lorentzian manifolds ⋮ Maximum solutions of normalized Ricci flow on 4-manifolds ⋮ Laplacian flow for closed \(\mathrm{G}_{2}\) structures: Shi-type estimates, uniqueness and compactness ⋮ On the conditions to control curvature tensors of Ricci flow ⋮ Extending Yamabe flow on complete Riemannian manifolds ⋮ Ricci flow of non-collapsed 3-manifolds: two applications ⋮ The long-time behavior of the Ricci tensor under the Ricci flow ⋮ Manifolds with 1/4-pinched flag curvature ⋮ Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume ⋮ Maximum principle and convergence of fundamental solutions for the Ricci flow ⋮ Linear and dynamical stability of Ricci-flat metrics ⋮ Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature ⋮ Entropy and reduced distance for Ricci expanders ⋮ Mixed integral norms for Ricci flow ⋮ Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition ⋮ Unnamed Item ⋮ The second Sobolev best constant along the Ricci flow ⋮ A note on Kähler manifolds with almost nonnegative bisectional curvature ⋮ Nonsingular Ricci flow on a noncompact manifold in dimension three ⋮ A compactness result for Fano manifolds and Kähler Ricci flows ⋮ Notes on Perelman's papers ⋮ Ricci flow on quasiprojective manifolds. II. ⋮ Kähler manifolds with almost nonnegative curvature ⋮ Classification of gradient steady Ricci solitons with linear curvature decay ⋮ Noncompact 4-manifolds with uniformly positive isotropic curvature ⋮ Ricci flow of almost non-negatively curved three manifolds ⋮ Perelman's functionals on cones. Construction of type III Ricci flows coming out of cones ⋮ The Ricci flow on solvmanifolds of real type ⋮ A note on Perelman's no shrinking breather theorem ⋮ On the simply connectedness of nonnegatively curved Kähler manifolds and applications ⋮ The marked length spectrum of Anosov manifolds ⋮ Collapsing in theL2Curvature Flow ⋮ Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below ⋮ On the normalized Ricci flow with scalar curvature converging to constant ⋮ A Hermitian curvature flow ⋮ SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES ⋮ Asymptotic behavior of positively curved steady Ricci solitons ⋮ The logarithmic Sobolev inequality along the Ricci flow: the case \(\lambda _0(g_0)=0\) ⋮ The Kähler–Ricci Flow on Fano Manifolds ⋮ Dynamical (in)stability of Ricci-flat ALE metrics along the Ricci flow ⋮ Small curvature concentration and Ricci flow smoothing ⋮ Smoothing 3-dimensional polyhedral spaces ⋮ Killing vector fields of generic semi-Riemannian metrics ⋮ Boundary estimates for the Ricci flow
This page was built for publication: A Compactness Property for Solutions of the Ricci Flow
