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Year 2019, Volume: 7 Issue: 2, 359 - 362, 15.10.2019
https://izlik.org/JA53KL64AA

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
https://izlik.org/JA53KL64AA

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 Research Article
Authors

Filiz Ocak 0000-0003-4157-6404

Submission Date February 27, 2019
Acceptance Date June 12, 2019
Publication Date October 15, 2019
IZ https://izlik.org/JA53KL64AA
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. https://izlik.org/JA53KL64AA
AMA 1.Ocak F. Some Properties of the Riemannian Extensions. Konuralp J. Math. 2019;7(2):359-362. https://izlik.org/JA53KL64AA
Chicago Ocak, Filiz. 2019. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics 7 (2): 359-62. https://izlik.org/JA53KL64AA.
EndNote Ocak F (October 1, 2019) Some Properties of the Riemannian Extensions. Konuralp Journal of Mathematics 7 2 359–362.
IEEE [1]F. Ocak, “Some Properties of the Riemannian Extensions”, Konuralp J. Math., vol. 7, no. 2, pp. 359–362, Oct. 2019, [Online]. Available: https://izlik.org/JA53KL64AA
ISNAD Ocak, Filiz. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 359-362. https://izlik.org/JA53KL64AA.
JAMA 1.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, Oct. 2019, pp. 359-62, https://izlik.org/JA53KL64AA.
Vancouver 1.Ocak F. Some Properties of the Riemannian Extensions. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):359-62. Available from: https://izlik.org/JA53KL64AA
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