Kähler-Ricci shrinkers and ancient solutions with nonnegative orthogonal bisectional curvature
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Publication:2181104
DOI10.1016/j.matpur.2019.09.007zbMath1439.53084arXiv1903.02615OpenAlexW2972753431WikidataQ124883841 ScholiaQ124883841MaRDI QIDQ2181104
Publication date: 18 May 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02615
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Global Riemannian geometry, including pinching (53C20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)
Related Items (9)
Some local maximum principles along Ricci flows ⋮ Ancient solutions to the Ricci flow with isotropic curvature conditions ⋮ Shrinkers with curvature-pinching conditions are compact ⋮ Ricci flow under Kato-type curvature lower bound ⋮ Matrix Li-Yau-Hamilton estimates under Ricci flow and parabolic frequency ⋮ Kähler manifolds and the curvature operator of the second kind ⋮ The modified cusp Kähler-Ricci flow and soliton ⋮ The fundamental group, rational connectedness and the positivity of Kähler manifolds ⋮ Kähler manifolds with almost nonnegative curvature
Cites Work
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- Remarks on shrinking gradient Kähler-Ricci solitons with positive bisectional curvature
- Three-circle theorem and dimension estimate for holomorphic functions on Kähler manifolds
- On complete gradient shrinking Ricci solitons
- Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons
- Ancient solutions to Kähler-Ricci flow
- Strong uniqueness of the Ricci flow
- Perelman's reduced volume and a gap theorem for the Ricci flow
- Classification of manifolds with weakly 1/4-pinched curvatures
- A general convergence result for the Ricci flow in higher dimensions
- An extension of Mok's theorem on the generalized Frankel conjecture
- On a classification of gradient shrinking solitons
- Four-manifolds with positive curvature operator
- On compact Kaehler manifolds of nonnegative bisectional curvature. I
- Positively curved shrinking Ricci solitons are compact
- Ricci flow and nonnegativity of sectional curvature
- Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature.
- Comparison and vanishing theorems for Kähler manifolds
- Kähler manifolds with almost non-negative bisectional curvature.
- Ricci flow with surgery on manifolds with positive isotropic curvature
- \(\mathrm{U}(n)\)-invariant Kähler metrics with nonnegative quadratic bisectional curvature
- On Kähler manifolds with positive orthogonal bisectional curvature
- The Ricci flow under almost non-negative curvature conditions
- Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
- A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
- Manifolds with 1/4-pinched curvature are space forms
- Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations
- The Ricci Flow: Techniques and Applications
- On Four-Dimensional Gradient Shrinking Solitons
- Four-Dimensional Gradient Shrinking Solitons with Positive Isotropic Curvature
- Isotropic Curvature and the Ricci Flow
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