Sharp upper diameter bounds for compact shrinking Ricci solitons
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Publication:2033057
DOI10.1007/s10455-021-09764-7zbMath1468.53033arXiv2008.02893OpenAlexW3135924723MaRDI QIDQ2033057
Publication date: 14 June 2021
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.02893
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)
Related Items (2)
Diameter estimate for closed manifolds with positive scalar curvature ⋮ Diameter estimates for submanifolds in manifolds with nonnegative curvature
Cites Work
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- The Weyl tensor of gradient Ricci solitons
- Integral pinched shrinking Ricci solitons
- Lower diameter bounds for compact shrinking Ricci solitons
- The Bakry-Emery Ricci tensor and its applications to some compactness theorems
- On the classification of gradient Ricci solitons
- On complete gradient shrinking Ricci solitons
- Remarks on non-compact gradient Ricci solitons
- Rigidity of shrinking Ricci solitons
- A compactness theorem for complete Ricci shrinkers
- Strong uniqueness of the Ricci flow
- Comparison geometry for the Bakry-Emery Ricci tensor
- Diameter control under Ricci flow
- Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
- Relating diameter and mean curvature for submanifolds of Euclidean space
- Sharp logarithmic Sobolev inequalities on gradient solitons and applications
- On a classification of gradient shrinking solitons
- Ricci solitons on compact three-manifolds
- Some geometric properties of the Bakry-Émery-Ricci tensor
- Myers' type theorem with the Bakry-Émery Ricci tensor
- Positively curved shrinking Ricci solitons are compact
- Gradient shrinking Ricci solitons of half harmonic Weyl curvature
- Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator
- Kähler--Ricci solitons on toric manifolds with positive first Chern class
- Complete gradient shrinking Ricci solitons with pinched curvature
- On gradient Ricci solitons
- On Bach-flat gradient shrinking Ricci solitons
- Heat kernel on Ricci shrinkers
- Gradient shrinking solitons with vanishing Weyl tensor
- On the question of diameter bounds in Ricci flow
- On four-dimensional anti-self-dual gradient Ricci solitons
- Manifolds with positive curvature operators are space forms
- On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
- A remark on compact Ricci solitons
- On the structure of Ricci shrinkers
- Geometry of shrinking Ricci solitons
- SOME GAP THEOREMS FOR GRADIENT RICCI SOLITONS
- An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality
- Relating diameter and mean curvature for Riemannian submanifolds
- A Myers-type theorem and compact Ricci solitons
- DIAMETER BOUNDS AND HITCHIN-THORPE INEQUALITIES FOR COMPACT RICCI SOLITONS
- Geometry of Complete Gradient Shrinking Ricci Solitons
- Eigenvalue Comparison on Bakry-Emery Manifolds
- Complete shrinking Ricci solitons have finite fundamental group
- Existence of Gradient Kahler-Ricci Solitons
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