General natural \(\alpha\)-structures parallel with respect to the Schouten-van Kampen connection on the tangent bundle

DOI10.1007/S00009-022-02093-4OpenAlexW4289525301MaRDI QIDQ2167836

Simona-Luiza Druţă-Romaniuc

Publication date: 31 August 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02093-4

zbMATH Keywords

almost Kähler structurealmost para-Kähler structurenatural lift\((\alpha, \varepsilon)\)-structureSchouten-van Kampen connection

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

An almost Complex Structure with Norden Metric on the Phase Space

Cites Work

• Musical isomorphisms and problems of lifts
• The Schouten-Van Kampen connection on the \((1,1)\)-tensor bundle
• General natural \((\alpha ,\varepsilon )\)-structures
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Some classes of almost anti-Hermitian structures on the tangent bundle
• Para-hyperhermitian structures on tangent bundles
• On para-Kähler–Norden structures on the tangent bundles
• Codazzi and statistical connections on almost product manifolds
• The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure
• Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure
• Generalized almost para-contact manifolds
• SOME CONSTRUCTIONS OF ALMOST PARA-HYPERHERMITIAN STRUCTURES ON MANIFOLDS AND TANGENT BUNDLES
• Some almost product structures on manifolds with linear connection
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