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| On the Geometry of the (1, 1)-Tensor Bundle with Sasaki Type Metric |
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Citation： |
Arif SALIMOV,Aydin GEZER.On the Geometry of the (1, 1)-Tensor Bundle with Sasaki Type Metric[J].Chinese Annals of Mathematics B,2011,32(3):369~386 |
| Page view： 1764
Net amount： 1478 |
Authors： |
Arif SALIMOV; Aydin GEZER; |
Foundation： |
the Scientific and Technological Research Council of Turkey (No. TBAG-108T590). |
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| 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-K¨ahler-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. |
Keywords： |
Tensor bundle, Sasaki metric, Vertical and horizontal lift, B-manifold |
Classification： |
55R10, 53C07, 53C15 |
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