Four-Dimensional Gradient Shrinking Solitons with Positive Isotropic Curvature

DOI10.1093/imrn/rnw269zbMath1405.53071arXiv1603.05264OpenAlexW2962940697MaRDI QIDQ4619322

Kui Wang, Xiaolong Li, Lei Ni

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05264

zbMATH Keywords

classificationquotient of \(\mathbb S^3 \times \mathbb R \)quotient of \(\mathbb S^4\)

Mathematics Subject Classification ID

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

Related Items (10)

Rigidity of positively curved shrinking Ricci solitons in dimension four ⋮ Kähler-Ricci shrinkers and ancient solutions with nonnegative orthogonal bisectional curvature ⋮ Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions ⋮ Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature ⋮ The rigidity of \(\mathbb{S}^3 \times \mathbb{R}\) under ancient Ricci flow ⋮ Ancient solutions to the Ricci flow with isotropic curvature conditions ⋮ A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons ⋮ Curvature estimates for steady Ricci solitons ⋮ Volume growth estimates of gradient Ricci solitons ⋮ Curvature growth of some 4-dimensional gradient Ricci soliton singularity models

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