Cheeger-gromoll type metrics on the (1,1)-tensor bundles |
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Authors: | E Peyghan A Tayebi L Nourmohammadifar |
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Institution: | 1. Arak University, Arak, Iran 2. University of Qom, Qom, Iran
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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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