Characterizing specific Riemannian manifolds by differential equations

DOI10.1023/A:1022987819448zbMath1033.53033OpenAlexW3103301MaRDI QIDQ1810782

Eduardo García-Río, Demir N. Kupeli, Fazilet Erkekoğlu, Bülent Ünal

Publication date: 9 June 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022987819448

zbMATH Keywords

eigenvalueLaplaciancomplex projective spaceEuclidean spheretension fieldquaternionic projective spaceconformal vector fieldHessian tensorprojective vector fieldsecond covariant differential\(k\)-nullity vector fieldaffinity tensoreigenvector field

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differential geometry of symmetric spaces (53C35)

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