THE SET OF ZOLL METRICS IS NOT PRESERVED BY SOME GEOMETRIC FLOWS

DOI10.4134/CKMS.c180162zbMath1426.53099OpenAlexW3025109083MaRDI QIDQ5241360

Shahroud Azami, Ghodratallah Fasihi Ramandi

Publication date: 30 October 2019

Full work available at URL: https://www.koreascience.or.kr/article/JAKO201921358167879.page

zbMATH Keywords

evolutionary equationsgeodesicgeometric flowZoll metrics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geometric evolution equations (53Exx)

Cites Work

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• The Ricci-Bourguignon flow
• Hyperbolic geometric flow. I: Short-time existence and nonlinear stability
• Three-manifolds with positive Ricci curvature
• On the volume of manifolds all of whose geodesics are closed
• The Ricci flow does not preserve the set of Zoll metrics
• A Panoramic View of Riemannian Geometry
• Problèmes d'analyse géométrique liés à la conjecture de Blaschke

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