THE HOMOGENEOUS LIFT TO THE (1, 1)-TENSOR BUNDLE OF A RIEMANNIAN METRIC

DOI10.1142/S0219887813500060zbMath1264.53022OpenAlexW2148095964WikidataQ115245402 ScholiaQ115245402MaRDI QIDQ4917809

Hassan Nasrabadi, Esmaeil Peyghan, Akbar Tayebi

Publication date: 2 May 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887813500060

zbMATH Keywords

Einstein metrictensor bundlealmost complexhomogeneous lift metricpara-Nordenian structure

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local Riemannian geometry (53B20)

Related Items (7)

On the geometry of tangent bundle of Finsler manifold with Cheeger-Gromoll metric ⋮ Unnamed Item ⋮ A new class of almost complex structures on tangent bundle of a Riemannian manifold ⋮ On the (1, 1)-tensor bundle with Cheeger-Gromoll type metric ⋮ A classification of conformal vector fields on the tangent bundle ⋮ Para-complex structures on linear coframe bundle with Sasakian metric ⋮ Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Paracomplex structures and affine symmetric spaces
• Riemannian metrics on tangent bundles

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