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Totally geodesic property of the unit tangent sphere bundle with \(g\)-natural metrics

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Publication:1737388
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DOI10.2478/AUSM-2018-0013zbMath1426.53076OpenAlexW2890436590MaRDI QIDQ1737388

Farshad Firuzi, Esmaeil Peyghan

Publication date: 27 March 2019

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2018-0013


zbMATH Keywords

totally geodesic submanifoldsphere bundlenatural metrics


Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Global submanifolds (53C40) Differential forms in global analysis (58A10) Almost contact and almost symplectic manifolds (53D15)





Cites Work

  • Paracontact metric structures on the unit tangent sphere bundle
  • \(g\)-natural contact metrics on unit tangent sphere bundles
  • On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
  • On differentiable manifolds with certain structures which are closely related to almost contact structure. I
  • Cosmology as geodesic motion
  • Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure
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