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On deformed Riemannian extensions associated with twin Norden metrics

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Abstract

The main purpose of this paper is to study the deformed Riemannian extension g+V G •• in the cotangent bundle, where G is a twin Norden metric on the base manifold.

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References

  1. Aras, M., The metric connection with respect to the synectic metric, Hacet. J. Math. Stat., 41(2), 2012, 169–173.

    MATH  MathSciNet  Google Scholar 

  2. Aslanci, S., Kazimova, S. and Salimov, A. A., Some notes concerning Riemannian extensions, Ukrainian Math. J., 62(5), 2010, 661–675.

    Article  MathSciNet  Google Scholar 

  3. Bonome, A., Castro, R., Hervella, L. M. and Matsushita, Y., Construction of Norden structures on neutral 4-manifolds, JP J. Geom. Topol., 5(2), 2005, 121–140.

    MATH  MathSciNet  Google Scholar 

  4. Salimov, A., Tensor Operators and Their Applications, Nova Science Publishers, New York, 2012.

    Google Scholar 

  5. Talantova, N. V. and Shirokov, A. P., A remark on a certain metric in the tangent bundle, Izv. Vys. Ucebn. Zaved. Matematika, 157(6), 1975, 143–146.

    Google Scholar 

  6. Vishnevskii, V. V., Shirokov, A. P. and Shurygin, V. V., Spaces over Algebras, Kazanskii Gosudarstvennyi Universitet, Kazan, 1985.

    Google Scholar 

  7. Yano, K. and Ishihara, S., Tangent and Cotangent Bundles, Mercel Dekker, Inc., New York, 1973.

    MATH  Google Scholar 

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Correspondence to Arif Salimov.

Additional information

This work was supported by the Scientific and Technological Research Council of Turkey (MFAG-1001, No. 112T111).

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Salimov, A., Cakan, R. On deformed Riemannian extensions associated with twin Norden metrics. Chin. Ann. Math. Ser. B 36, 345–354 (2015). https://doi.org/10.1007/s11401-015-0914-8

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  • DOI: https://doi.org/10.1007/s11401-015-0914-8

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