Yıl: 2019 Cilt: 12 Sayı: 2 Sayfa Aralığı: 241 - 249 Metin Dili: İngilizce İndeks Tarihi: 03-04-2020

Notes About a New Metric on the Cotangent Bundle

Öz:
In this article, we construct a new metric ^G= Rr +mPi;j=1ajipjpi in the cotangent bundle, where Rris the Riemannian extension and aji is a symmetric (2,0)-tensor field on a differentiable manifold.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Aslanci, S., Cakan, R., On a cotangent bundle with deformed Riemannian extension, Mediterr. J. Math. 11 (2014), 1251-1260.
  • [2] Aslanci, S., Kazimova, S., Salimov, A.A., Some Remarks Concerning Riemannian Extensions, Ukrainian. Math. J. 62, (2010), 661-675.
  • [3] Bejan, C.L., Eken, ¸S., A characterization of the Riemann extension in terms of harmonicity, Czech. Math. J. 67, (2017), 197-206.
  • [4] Bejan, C.L., Meriç, ¸S. E., Kılıç, E., Einstein Metrics Induced by Natural Riemann Extensions, Adv. Appl. Clifford Algebras. 27, (2017), 2333- 2343.
  • [5] Calviño-Louzao, E., García-Río, E., Gilkey, P., Vázquez-Lorenzo A., The Geometry of Modified Riemannian Extensions, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 465, (2009), 2023-2040.
  • [6] Cruceanu, V., Fortuny, P., Gadea, M., A survey on paracomplex Geometry, Rocky Mountain J. Math. 26, (1995), 83-115.
  • [7] Dryuma, V., The Riemann Extensions in Theory of Differential Equations and their Applications, Mat. Fiz. Anal. Geom. 10, (2003), 307-325.
  • [8] Gezer, A., Bilen, L., Cakmak, A., Properties of Modified Riemannian Extensions, Zh. Mat. Fiz. Anal. Geom. 11, (2015), 159-173.
  • [9] Kruckovic, GI., Hypercomplex structures on manifolds I. Trudy. Sem. Vektor Tenzor Anal. 16, (1972), 174-201(in Russian).
  • [10] Ocak, F., Kazimova, S., On a new metric in the cotangent bundle, Transactions of NAS of Azerbaijan Series of Physical-Technical and Mathematical Sciences. 38, (2018), 128-138.
  • [11] Patterson, E.M., Walker, A.G., Riemann Extensions, Quart. J. Math. Oxford Ser. 3, (1952), 19–28.
  • [12] Salimov, A., Tensor Operators and Their Applications, Nova Science Publishers, New York, USA, 2012.
  • [13] Salimov, A., Cakan, R., On deformed Riemannian extensions associated with twin Norden metrics, Chinese Annals of Mathematics Series B. 36, (2015), 345-354.
  • [14] Salimov, A.A., Iscan, M., Akbulut, K., Notes on para-Norden–Walker 4-manifolds, International Journal of Geometric Methods in Modern Physics. 7, (2010), 1331-1347.
  • [15] Salimov, A. A., Iscan, M. and Etayo, F., Paraholomorphic B-manifold and its properties, Topology Appl. 154,(2007), 925-933.
  • [16] Yano, K., Ako, M., On certain operators associated with tensor fields, Kodai Math. Sem. Rep. 20, (1968), 414-436.
  • [17] Yano, K. and Ishihara, S., Tangent and Cotangent Bundles, Pure and Applied Mathematics, 16, Marcel Dekker, Inc., New York, 1973.
APA ocak f (2019). Notes About a New Metric on the Cotangent Bundle. , 241 - 249.
Chicago ocak filiz Notes About a New Metric on the Cotangent Bundle. (2019): 241 - 249.
MLA ocak filiz Notes About a New Metric on the Cotangent Bundle. , 2019, ss.241 - 249.
AMA ocak f Notes About a New Metric on the Cotangent Bundle. . 2019; 241 - 249.
Vancouver ocak f Notes About a New Metric on the Cotangent Bundle. . 2019; 241 - 249.
IEEE ocak f "Notes About a New Metric on the Cotangent Bundle." , ss.241 - 249, 2019.
ISNAD ocak, filiz. "Notes About a New Metric on the Cotangent Bundle". (2019), 241-249.
APA ocak f (2019). Notes About a New Metric on the Cotangent Bundle. International Electronic Journal of Geometry, 12(2), 241 - 249.
Chicago ocak filiz Notes About a New Metric on the Cotangent Bundle. International Electronic Journal of Geometry 12, no.2 (2019): 241 - 249.
MLA ocak filiz Notes About a New Metric on the Cotangent Bundle. International Electronic Journal of Geometry, vol.12, no.2, 2019, ss.241 - 249.
AMA ocak f Notes About a New Metric on the Cotangent Bundle. International Electronic Journal of Geometry. 2019; 12(2): 241 - 249.
Vancouver ocak f Notes About a New Metric on the Cotangent Bundle. International Electronic Journal of Geometry. 2019; 12(2): 241 - 249.
IEEE ocak f "Notes About a New Metric on the Cotangent Bundle." International Electronic Journal of Geometry, 12, ss.241 - 249, 2019.
ISNAD ocak, filiz. "Notes About a New Metric on the Cotangent Bundle". International Electronic Journal of Geometry 12/2 (2019), 241-249.