Killing fields generated by multiple solutions to the Fischer–Marsden equation II

DOI10.1142/S0129167X16500804zbMath1351.53042OpenAlexW4248692774MaRDI QIDQ2831246

Paul Cernea, Zhuang-Dan Guan

Publication date: 2 November 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x16500804

zbMATH Keywords

sphereisometry groupKilling vector fieldscritical metricselliptic PDE systemscalar curvature functionalcohomogeneity-one metricsFischer-Marsden solutionslinearization of scalar curvaturemetrics with constant scalar curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) (G)-structures (53C10) Methods of local Riemannian geometry (53B21)

Related Items (2)

Real hypersurfaces of complex space forms satisfying Fischer-Marsden equation ⋮ A note on some remarkable differential equations on a Riemannian manifold

Cites Work

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• A decomposition of the space \(\mathcal M\) of Riemannian metrics on a manifold
• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• Warped product rigidity
• A remark about static space times
• Killing fields generated by multiple solutions to the Fischer–Marsden equation

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