Positive intermediate curvatures and Ricci flow

DOI10.1090/PROC/16752arXiv2303.08641WikidataQ125699971 ScholiaQ125699971MaRDI QIDQ6429680

Masoumeh Zarei, David González-Álvaro

Publication date: 15 March 2023

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Cites Work

• Classification of generalized Wallach spaces
• The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow
• Three-manifolds with positive Ricci curvature
• Ricci flow does not preserve positive sectional curvature in dimension four
• On the Ricci flow of homogeneous metrics on spheres
• Correction to: ``Classification of generalized Wallach spaces
• Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature
• The dynamics of the Ricci flow on generalized Wallach spaces
• Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
• Ricci flow on certain homogeneous spaces
• Intermediate curvatures and highly connected manifolds
• A softer connectivity principle
• Recent Developments in Ricci Flows
• Ricci flow and manifolds with positive curvature
• Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and octonions
• A generalization of the classical sphere theorem
• Intermediate Ricci curvatures and Gromov's Betti number bound
• Infinite families of manifolds of positive \(k\)th-intermediate Ricci curvature with \(k\) small
• Positive Intermediate Ricci Curvature with Maximal Symmetry Rank

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