Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 2, 359 - 362, 15.10.2019

Öz

Kaynakça

  • [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

Yıl 2019, Cilt: 7 Sayı: 2, 359 - 362, 15.10.2019

Öz

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.

Kaynakça

  • [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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Filiz Ocak 0000-0003-4157-6404

Yayımlanma Tarihi 15 Ekim 2019
Gönderilme Tarihi 27 Şubat 2019
Kabul Tarihi 12 Haziran 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 2

Kaynak Göster

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. Ekim 2019;7(2):359-362.
Chicago Ocak, Filiz. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics 7, sy. 2 (Ekim 2019): 359-62.
EndNote Ocak F (01 Ekim 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., c. 7, sy. 2, ss. 359–362, 2019.
ISNAD Ocak, Filiz. “Some Properties of the Riemannian Extensions”. Konuralp Journal of Mathematics 7/2 (Ekim 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, c. 7, sy. 2, 2019, ss. 359-62.
Vancouver Ocak F. Some Properties of the Riemannian Extensions. Konuralp J. Math. 2019;7(2):359-62.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.