7. Ricci Flow
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Problem 7.1.
Let $M^n$ be a compact manifold with positive isotropic curvature. Does any blow-up limit of the Ricci flow have non-negative curvature operator? -
Problem 7.2.
Suppose $G$ acts freely and isometrically on $M$. What kind of flows on $M/G$ are induced by the Ricci flow on $M$? -
Problem 7.3.
Can one improve the Hsiang-Kleiner theorem on positively curved $4$-manifolds with symmetry from homeomorphism to diffeomorphism by using the Ricci flow?
Cite this as: AimPL: Manifolds with non-negative sectional curvature, available at http://aimpl.org/nnsectcurvature.