Curvature tensors and covariant derivatives

DOI10.1007/BF02414842zbMath0277.53013OpenAlexW1979130857MaRDI QIDQ1393860

Shukichi Tanno

Publication date: 1973

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02414842

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (14)

On closed manifolds with harmonic Weyl curvature ⋮ Unnamed Item ⋮ A potential generalization of some canonical Riemannian metrics ⋮ On Local Characterization Results in Geometry and Gravitation ⋮ Two-symmetric Lorentzian manifolds ⋮ Unnamed Item ⋮ Ricci and Yamabe solitons on second-order symmetric, and plane wave 4-dimensional Lorentzian manifolds ⋮ Conformally symmetric semi-Riemannian manifolds. ⋮ On the decomposition of generalized K-curvature tensor fields ⋮ On local curvature symmetries of GRW space-times ⋮ On q-projectively recurrent spaces ⋮ A splitting theorem for higher order parallel immersions ⋮ Conformally recurrent semi-Riemannian manifolds ⋮ Compact Kähler surfaces with harmonic anti-self-dual Weyl tensor.

Cites Work

• Strongly curvature-preserving transformations of pseudo-Riemannian manifolds
• Transformations of pseudo-Riemannian manifolds
• On the de Rham decomposition theorem
• On real representations of Kaehlerian manifolds
• A THEOREM ON CURVATURE TENSOR FIELDS
• Some remarks on conformally symmetric Riemannian spaces
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