Abstract
Curvature properties are studied for the Sasaki metric on the (1, 1) tensor bundle of a Riemannian manifold. As an application, examples of almost para-Nordenian and para-Kähler-Nordenian B-metrics are constructed on the (1, 1) tensor bundle by looking at the Sasaki metric. Also, with respect to the para-Nordenian B-structure, paraholomorphic conditions for the complete lifts of vector fields are analyzed.
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Project supported by the Scientific and Technological Research Council of Turkey (No. TBAG-108T590).
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Salimov, A., Gezer, A. On the geometry of the (1, 1)-tensor bundle with Sasaki type metric. Chin. Ann. Math. Ser. B 32, 369–386 (2011). https://doi.org/10.1007/s11401-011-0646-3
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DOI: https://doi.org/10.1007/s11401-011-0646-3