Curvature estimates for 4-dimensional complete gradient expanding Ricci solitons

DOI10.1515/crelle-2022-0039zbMath1501.53062arXiv2111.09848OpenAlexW4288066583MaRDI QIDQ2170259

Publication date: 30 August 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09848

zbMATH Keywords

nonnegative Ricci curvature asymptotic cones at infinity finite asymptotic curvature ratio finite asymptotic scalar curvature ratio

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Ricci flows (53E20)

Related Items (2)

Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio ⋮ Volume growth estimates of gradient Ricci solitons

Cites Work

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Rotational symmetry of conical Kähler-Ricci solitons
Smoothing out positively curved metric cones by Ricci expanders
Classification of expanding and steady Ricci solitons with integral curvature decay
Expanding solitons with non-negative curvature operator coming out of cones
Expanding Ricci solitons asymptotic to cones
Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds
On complete gradient shrinking Ricci solitons
On Ricci solitons of cohomogeneity one
Remarks on non-compact gradient Ricci solitons
Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons
The Harnack estimate for the Ricci flow
Structure at infinity of expanding gradient Ricci soliton
Sharp logarithmic Sobolev inequalities on gradient solitons and applications
Remarks on complete non-compact gradient Ricci expanding solitons
Limits of solutions to the Kähler-Ricci flow
Complete Riemannian manifolds with pointwise pinched curvature
Quasi-Einstein Kähler metrics
Ricci flow on cone surfaces
On Harnack's inequalities for the Kähler-Ricci flow
Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
Four-dimensional complete gradient shrinking Ricci solitons
On a classification of 4-d gradient Ricci solitons with harmonic Weyl curvature
Expanding Kähler-Ricci solitons coming out of Kähler cones
Rigidity of gradient Ricci solitons
Curvature estimates for four-dimensional gradient steady Ricci solitons
Rigidity of asymptotically conical shrinking gradient Ricci solitons
Non-Kähler expanding Ricci solitons, Einstein metrics, and exotic cone structures
Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature
Bach-flat gradient steady Ricci solitons
Ricci solitons, conical singularities, and nonuniqueness
On a dichotomy of the curvature decay of steady Ricci solitons
Geometry of shrinking Ricci solitons
Non-Kähler Expanding Ricci Solitons
Asymptotic estimates and compactness of expanding gradient Ricci solitons
Complete Ricci Solitons via Estimates on the Soliton Potential
Two-Dimensional Gradient Ricci Solitons Revisited
Curvature estimates for steady Ricci solitons
Three-dimensional Ricci solitons which project to surfaces
Existence of Gradient Kahler-Ricci Solitons
On complete gradient steady Ricci solitons with vanishing 𝐷-tensor
Ricci soliton homogeneous nilmanifolds

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