Ancient solutions of the Ricci flow on bundles

DOI10.1016/j.aim.2017.08.011zbMath1372.53067OpenAlexW2743616851MaRDI QIDQ2401694

Yanyan Li

Publication date: 4 September 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2017.08.011

zbMATH Keywords

Riemannian submersionsFano manifoldsancient solutionstorus bundles

Mathematics Subject Classification ID

Related Items (4)

Stability of Einstein metrics on fiber bundles ⋮ Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces ⋮ Ancient solutions of the homogeneous Ricci flow on flag manifolds ⋮ On the Ricci flow of homogeneous metrics on spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ancient solutions to the Ricci flow with pinched curvature
• Einstein metrics on principal torus bundles
• Classification of ancient compact solutions to the Ricci flow on surfaces
• Backward Ricci flow on locally homogeneous 3-manifolds
• On the long time behavior of homogeneous Ricci flows
• The backward behavior of the Ricci and cross-curvature flows on SL\((2,\mathbb{R})\)
• Nonlinear models in \(2+\epsilon\) dimensions
• A diffeomorphism classification of 7-dimensional homogeneous Einstein manifolds with \(SU(3)\times SU(2)\times U(1)\)-symmetry
• Einstein metrics on \(S^2\)-bundles
• Unstable Einstein metrics
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• Ricci flow of homogeneous manifolds
• An ancient solution of the Ricci flow in dimension 4 converging to the Euclidean Schwarzschild metric
• Type II ancient solutions to the Ricci flow on surfaces
• Ricci flow on homogeneous spaces with two isotropy summands
• Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons
• The fundamental equations of a submersion
• Backwards Uniqueness for the Ricci Flow
• Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations
• Eternal solutions to the Ricci flow on R2
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• Gluing Eguchi‐Hanson Metrics and a Question of Page
• Optimal Curvature Estimates for Homogeneous Ricci Flows

This page was built for publication: Ancient solutions of the Ricci flow on bundles