On the curvature ODE associated to the Ricci flow

DOI10.1007/S10711-014-0035-7zbMath1317.53053arXiv1310.4618OpenAlexW2044970142MaRDI QIDQ2339889

Atreyee Bhattacharya

Publication date: 14 April 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4618

zbMATH Keywords

curvature operatorRicci flowcurvature ODEstability of curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Ricci deformation of the metric on a Riemannian manifold
• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature
• Manifolds with positive curvature operators are space forms
• Manifolds with 1/4-pinched curvature are space forms

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