Derivatives with respect to horizontal and vertical lifts of the deformed complete lift metric G_{f} on tangent bundle.

DOI10.5269/BSPM.51222OpenAlexW4210937814MaRDI QIDQ6189588

Haşim Çayir, Rabia Cakan Akpinar

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.51222

zbMATH Keywords

tangent bundleLie derivativehorizontal liftvertical liftcovarient derivativeddeformed complete lift metric \(\tilde{G}_f\)

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Vector and tensor algebra, theory of invariants (15A72) Commutators, derivations, elementary operators, etc. (47B47) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Anti-invariant Riemannian submersions from almost Hermitian manifolds
• On the differential geometry of tangent bundles of Riemannian manifolds
• On the Geometry of the Tangent Bundle.
• Semi-invariant Submersions from Almost Hermitian Manifolds
• Notes on the tangent bundle with deformed complete lift metric
• Metallic maps between metallic Riemannian manifolds and constancy of certain maps

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