SOME NEW IDENTITIES FOR THE SECOND COVARIANT DERIVATIVE OF THE CURVATURE TENSOR

DOI10.22190/FUMI200930038MzbMath1499.53078OpenAlexW3205362033MaRDI QIDQ5064426

Miroslav D. Maksimović, Mića S. Stanković

Publication date: 16 March 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi200930038m

zbMATH Keywords

curvature tensorRiemannian manifoldcovariant derivativesecond-order identity

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Local Riemannian geometry (53B20) Methods of local Riemannian geometry (53B21)

Cites Work

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• Vanishing of quantum gravitational corrections to vacuum solutions of general relativity at second order in curvature
• A second-order identity for the Riemann tensor and applications
• Generalized para-Kähler spaces in Eisenhart’s sense admitting a holomorphically projective mapping
• On a projective conformal semi-symmetric connection

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