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Year 2019, Volume: 7 Issue: 2, 359 - 362, 15.10.2019

Abstract

References

  • [1] S. Aslanci, S. Kazimova and A.A. Salimov, Some notes concerning Riemannian extensions, Ukrainian Math. J., 62 (2010), 661-675.
  • [2] A. Bonome, R. Castro, L. M. Hervella and Y. Matsushita, Construction of Norden structures on neutral 4-manifolds, JP J. Geom. Topol., 5 (2005), 121-140.
  • [3] S.L. Drut¸˘a, Classes of general natural almost anti-Hermitian structures on the cotangent bundles, Mediterranean J. Math, 8 (2011), 161-179.
  • [4] G.T. Ganchev and A.V. Borisov, Note on the almost complex manifolds with a Norden metric, C. R. Acad. Bulg. Sci.,39(1986), 31–34.
  • [5] M. Iscan, A.A. Salimov, On K¨ahler-Norden manifolds, Proc. Indian Acad. Sci. Math. Sci., 119(2009), 71-80.
  • [6] G.I. Kruckovic, Hypercomplex structures on manifolds.I, Trudy. Sem. Vektor. Tenzor. Anal., 16(1972), 174-201(in Russian).
  • [7] A. Salimov, Tensor Operators and Their Applications, Nova Science Publishers, New York, 2012.
  • [8] A.A. Salimov, M. Iscan and K. Akbulut, Some remarks concerning hyperholomorphic B-manifolds, Chin. Ann. Math., 29(2008), 631–640.
  • [9] A.A. Salimov, M. Iscan and F. Etayo, Paraholomorphic B-manifold and its properties, Topology Appl., 154(2007), 925-933.
  • [10] A.A. Salimov, S. Turanli, Curvature properties of anti-K¨ahler-Codazzi manifolds, C. R. Acad. Sci. Paris, Ser. I, 351(2013), 225–227.
  • [11] V.V. Vishnevskii, Integrable affinor structures and their plural interpretations, J. Math. Sci., 108(2002), 151-187.
  • [12] K. Yano and S. Ishihara, Tangent and Cotangent Bundles, Pure and Applied Mathematics, 16, Marcel Dekker, Inc., New York, 1973.

Some Properties of the Riemannian Extensions

Year 2019, Volume: 7 Issue: 2, 359 - 362, 15.10.2019

Abstract

In this article, we construct an almost complex structure on the cotangent bundle. Then we investigate Nordenian properties of  the  Riemannian extension  in the cotangent bundle.

References

  • [1] S. Aslanci, S. Kazimova and A.A. Salimov, Some notes concerning Riemannian extensions, Ukrainian Math. J., 62 (2010), 661-675.
  • [2] A. Bonome, R. Castro, L. M. Hervella and Y. Matsushita, Construction of Norden structures on neutral 4-manifolds, JP J. Geom. Topol., 5 (2005), 121-140.
  • [3] S.L. Drut¸˘a, Classes of general natural almost anti-Hermitian structures on the cotangent bundles, Mediterranean J. Math, 8 (2011), 161-179.
  • [4] G.T. Ganchev and A.V. Borisov, Note on the almost complex manifolds with a Norden metric, C. R. Acad. Bulg. Sci.,39(1986), 31–34.
  • [5] M. Iscan, A.A. Salimov, On K¨ahler-Norden manifolds, Proc. Indian Acad. Sci. Math. Sci., 119(2009), 71-80.
  • [6] G.I. Kruckovic, Hypercomplex structures on manifolds.I, Trudy. Sem. Vektor. Tenzor. Anal., 16(1972), 174-201(in Russian).
  • [7] A. Salimov, Tensor Operators and Their Applications, Nova Science Publishers, New York, 2012.
  • [8] A.A. Salimov, M. Iscan and K. Akbulut, Some remarks concerning hyperholomorphic B-manifolds, Chin. Ann. Math., 29(2008), 631–640.
  • [9] A.A. Salimov, M. Iscan and F. Etayo, Paraholomorphic B-manifold and its properties, Topology Appl., 154(2007), 925-933.
  • [10] A.A. Salimov, S. Turanli, Curvature properties of anti-K¨ahler-Codazzi manifolds, C. R. Acad. Sci. Paris, Ser. I, 351(2013), 225–227.
  • [11] V.V. Vishnevskii, Integrable affinor structures and their plural interpretations, J. Math. Sci., 108(2002), 151-187.
  • [12] K. Yano and S. Ishihara, Tangent and Cotangent Bundles, Pure and Applied Mathematics, 16, Marcel Dekker, Inc., New York, 1973.
There are 12 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Filiz Ocak 0000-0003-4157-6404

Publication Date October 15, 2019
Submission Date February 27, 2019
Acceptance Date June 12, 2019
Published in Issue Year 2019 Volume: 7 Issue: 2

Cite

APA Ocak, F. (2019). Some Properties of the Riemannian Extensions. Konuralp Journal of Mathematics, 7(2), 359-362.
AMA Ocak F. Some Properties of the Riemannian Extensions. Konuralp J. Math. October 2019;7(2):359-362.
Chicago Ocak, Filiz. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics 7, no. 2 (October 2019): 359-62.
EndNote Ocak F (October 1, 2019) Some Properties of the Riemannian Extensions. Konuralp Journal of Mathematics 7 2 359–362.
IEEE F. Ocak, “Some Properties of the Riemannian Extensions”, Konuralp J. Math., vol. 7, no. 2, pp. 359–362, 2019.
ISNAD Ocak, Filiz. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics 7/2 (October 2019), 359-362.
JAMA Ocak F. Some Properties of the Riemannian Extensions. Konuralp J. Math. 2019;7:359–362.
MLA Ocak, Filiz. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics, vol. 7, no. 2, 2019, pp. 359-62.
Vancouver Ocak F. Some Properties of the Riemannian Extensions. Konuralp J. Math. 2019;7(2):359-62.
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