Characterization of three- and four-dimensional Riemannian manifolds by pointwise conditions on trace and determinant of the Jacobi operator

DOI10.1007/S00022-001-8563-3zbMath1004.53021OpenAlexW406857856MaRDI QIDQ5954178

Veselin T. Videv

Publication date: 5 February 2003

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-001-8563-3

zbMATH Keywords

four-dimensional Einstein manifoldsJacobi operatorconstant sectional curvaturepointwise conditionpointwise Osserman manifolds

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Connections (general theory) (53C05) Methods of local Riemannian geometry (53B21)

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Manifolds with commuting Jacobi operators

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