Bochner flatness of tangent bundles with \(g\)-natural almost Hermitian metrics

DOI10.1007/s10455-015-9491-zzbMath1348.53033OpenAlexW2469235900MaRDI QIDQ282773

Handan Yıldırım, David E. Blair

Publication date: 12 May 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-015-9491-z

zbMATH Keywords

tangent bundle\(g\)-natural metricsBochner flatnessconformal flatness

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) Natural bundles (58A32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal unit vector fields with respect to Riemannian natural metrics
• Bochner and conformal flatness on normal complex contact metric manifolds
• On the differential geometry of tangent bundles of Riemannian manifolds
• On some structures which are similar to the quaternion structure
• Riemannian metrics on tangent bundles
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Bochner and conformal flatness of normal metric contact pairs
• On the almost-complex structure of tangent bundles of Riemannian spaces
• Curvature and Betti Numbers. II
• On the Geometry of the Tangent Bundle.
• g-Natural metrics of constant sectional curvature
• Curvature Tensors on Almost Hermitian Manifolds
• Riemannian geometry of contact and symplectic manifolds
• Normality of complex contact manifolds