Smoothing Riemannian metrics with Ricci curvature bounds
From MaRDI portal
Publication:1914849
DOI10.1007/BF02568293zbMath0880.53034arXivdg-ga/9411014WikidataQ115392012 ScholiaQ115392012MaRDI QIDQ1914849
Guofang Wei, Xianzhe Dai, Rugang Ye
Publication date: 8 February 1998
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9411014
Related Items (18)
On the long-time behavior of immortal Ricci flows ⋮ Remark about scalar curvature and Riemannian submersions ⋮ Fibrations and stability for compact group actions on manifolds with local bounded Ricci covering geometry ⋮ Ricci curvature integrals, local functionals, and the Ricci flow ⋮ The extension and convergence of mean curvature flow in higher codimension ⋮ A parametrized compactness theorem under bounded Ricci curvature ⋮ Quantitative volume space form rigidity under lower Ricci curvature bound II ⋮ On the compactness of hypersurfaces with finite total curvature via mean curvature flow ⋮ Collapsed manifolds with Ricci bounded covering geometry ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing ⋮ Smoothing metrics on closed Riemannian manifolds through the Ricci flow ⋮ The extension for mean curvature flow with finite integral curvature in Riemannian manifolds ⋮ A Bochner theorem and applications ⋮ Another proof of the local curvature estimate for the Ricci flow ⋮ Extending Yamabe flow on complete Riemannian manifolds ⋮ Smoothing Riemannian metrics with bounded Ricci curvatures in dimension four. II ⋮ Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below ⋮ Ricci flow smoothing for locally collapsing manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Smoothing Riemannian metrics
- Convergence and rigidity of manifolds under Ricci curvature bounds
- Collapsing Riemannian manifolds to ones of lower dimensions
- Real analyticity of solutions of Hamilton's equation
- Deforming the metric on complete Riemannian manifolds
- Controlled geometry via smoothing
- Curvature, diameter and Betti numbers
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem
- Ricci curvature and Betti numbers
- The existence of polarized \(F\)-structures on volume collapsed 4- manifolds
- Deforming metrics with curvature and injectivity radius bounded from below
- Three-manifolds with positive Ricci curvature
- Bounding homotopy and homology groups by curvature and diameter
- Convergence of riemannian manifolds with integral bounds on curvature. I
- Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
- Almost flat manifolds
This page was built for publication: Smoothing Riemannian metrics with Ricci curvature bounds