Two families of affine Osserman connections on 3-dimensional manifolds

zbMath1278.53018MaRDI QIDQ380770

Mouhamadou Hassirou, Abdoul Salam Diallo

Publication date: 14 November 2013

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1375293544

zbMATH Keywords

affine connectionJacobi operatorOsserman manifoldRiemann extension

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Linear and affine connections (53B05) Other connections (53B15)

Cites Work

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• Affine osserman connections on 2-dimensional manifolds
• Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators
• Affine Osserman connections and their Riemann extensions
• Almost Osserman structures on natural Riemann extensions
• The geometry of modified Riemannian extensions
• The Geometry of Walker Manifolds
• Nonsymmetric Osserman pseudo-Riemannian manifolds
• Osserman manifolds in semi-Riemannian geometry