Abstract
Using a Riemannian metric on a differentiable manifold, a Cheeger-Gromoll type metric is introduced on the (1,1)-tensor bundle of the manifold. Then the Levi-Civita connection, Riemannian curvature tensor, Ricci tensor, scalar curvature and sectional curvature of this metric are calculated. Also, a para-Nordenian structure on the the (1,1)-tensor bundle with this metric is constructed and the geometric properties of this structure are studied.
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Original Russian Text © E. Peyghan, A. Tayebi, L. Nourmohammadifar, 2013, published in Izvestiya NAN Armenii. Matematika, 2013, No. 6, pp. 59–70.
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Peyghan, E., Tayebi, A. & Nourmohammadifar, L. Cheeger-gromoll type metrics on the (1,1)-tensor bundles. J. Contemp. Mathemat. Anal. 48, 247–258 (2013). https://doi.org/10.3103/S1068362313060022
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DOI: https://doi.org/10.3103/S1068362313060022