Notes on the tangent bundle with deformed complete lift metric
Yıl: 2014 Cilt: 38 Sayı: 6 Sayfa Aralığı: 1038 - 1049 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
Notes on the tangent bundle with deformed complete lift metric
Öz: : In this paper, our aim is to study some properties of the tangent bundle with a deformed complete lift metric.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Abbassi MTK. Note on the classification theorems of g -natural metrics on the tangent bundle of a Riemannian manifold (M, g). Comment Math Univ Carolin 2004; 45: 591596.
- [2] Aras M. The metric connection with respect to the synectic metric. Hacet J Math Stat 2012; 41: 169173.
- [3] Dombrowski P. On the geometry of the tangent bundles. J Reine Angew Math 1962; 210: 7388.
- [4] Druta SL. Conformally flat tangent bundles with general natural lifted metrics. In: Andrica D, Moroianu S, editors. Contemporary Geometry and Topology and Related Topics, Cluj-Napoca, Romania: Cluj University Press, 2008, pp. 153166 .
- [5] Gezer A. On infinitesimal conformal transformations of the tangent bundles with the synectic lift of a Riemannian metric. Proc Indian Acad Sci Math Sci 2009; 119: 345350.
- [6] Iscan M, Salimov AA. On K¨ahler-Norden manifolds. Proc Indian Acad Sci Math Sci 2009; 119: 7180.
- [7] Kowalski O. Curvature of the induced Riemannian metric on the tangent bundle of a Riemannian manifold. J Reine Angew Math 1971; 250: 124129.
- [8] Kowalski O, Sekizawa M. Natural transformation of Riemannian metrics on manifolds to metrics on tangent bundlesa classification. Bull Tokyo Gakugei Univ 1988; 40: 129.
- [9] Musso E, Tricerri F. Riemannian metrics on tangent bundles. Ann Mat Pura Appl 1988; 150: 119.
- [10] Oproiu V. Some new geometric structures on the tangent bundles. Publ Math. Debrecen 1999; 55: 261281.
- [11] Oproiu V, Papaghiuc N. On the geometry of tangent bundle of a (pseudo-) Riemannian manifold. An Stiint Univ Al I Cuza Iasi Mat (NS) 1998; 44: 6783.
- [12] Oproiu V, Papaghiuc N. Some classes of almost anti-Hermitian structures on the tangent bundle. Mediterr J Math 2004; 1: 269282.
- [13] Oproiu V, Papaghiuc N. General natural Einstein Kahler structures on tangent bundles. Dif Geom Appl 2009; 27: 384392.
- [14] Sasaki S. On the differential geometry of tangent bundles of Riemannian manifolds. Tohoku Math J 1958; 10: 338358.
- [15] Tachibana S. Analytic tensor and its generalization. Tohoku Math J 1960; 12: 208221.
- [16] Talantova NV, Shirokov AP. A remark on a certain metric in the tangent bundle. Izv Vyss Uchebn Zaved Math 1975; 6: 143146.
- [17] Yamauchi K. On infinitesimal conformal transformations of the tangent bundles with the metric I + II over Riemannian manifolds. Ann Rep Asahikawa Med Coll 1996; 17: 17.
- [18] Yano K, Ako M. On certain operators associated with tensor field. Kodai Math Sem Rep 1968; 20: 414436.
- [19] Yano K, Ishihara S. Tangent and Cotangent Bundles. New York, NY, USA: Marcel Dekker, 1973.
- [20] Zayatuev BV. On geometry of tangent Hermitian surface. In: Shelekhov A, editor. Webs and Quasigroups 1995. Tver, Russia: Tver State University Press, 1995, pp. 139142.
- [21] Zayatuev BV. On some classes of AH-structures on tangent bundles. In: Proceedings of the International Conference Dedicated to AZ Petrov [in Russian], 2000, pp. 5354.
- [22] Zayatuev BV. On some classes of almost-Hermitian structures on the tangent bundle. In: Shelekhov A, editor. Webs and Quasigroups 2002. Tver, Russia: Tver State University Press, 2002, pp. 103106.
APA | GEZER A, Özkan M (2014). Notes on the tangent bundle with deformed complete lift metric. , 1038 - 1049. |
Chicago | GEZER AYDIN,Özkan Mustafa Hulusi Notes on the tangent bundle with deformed complete lift metric. (2014): 1038 - 1049. |
MLA | GEZER AYDIN,Özkan Mustafa Hulusi Notes on the tangent bundle with deformed complete lift metric. , 2014, ss.1038 - 1049. |
AMA | GEZER A,Özkan M Notes on the tangent bundle with deformed complete lift metric. . 2014; 1038 - 1049. |
Vancouver | GEZER A,Özkan M Notes on the tangent bundle with deformed complete lift metric. . 2014; 1038 - 1049. |
IEEE | GEZER A,Özkan M "Notes on the tangent bundle with deformed complete lift metric." , ss.1038 - 1049, 2014. |
ISNAD | GEZER, AYDIN - Özkan, Mustafa Hulusi. "Notes on the tangent bundle with deformed complete lift metric". (2014), 1038-1049. |
APA | GEZER A, Özkan M (2014). Notes on the tangent bundle with deformed complete lift metric. Turkish Journal of Mathematics, 38(6), 1038 - 1049. |
Chicago | GEZER AYDIN,Özkan Mustafa Hulusi Notes on the tangent bundle with deformed complete lift metric. Turkish Journal of Mathematics 38, no.6 (2014): 1038 - 1049. |
MLA | GEZER AYDIN,Özkan Mustafa Hulusi Notes on the tangent bundle with deformed complete lift metric. Turkish Journal of Mathematics, vol.38, no.6, 2014, ss.1038 - 1049. |
AMA | GEZER A,Özkan M Notes on the tangent bundle with deformed complete lift metric. Turkish Journal of Mathematics. 2014; 38(6): 1038 - 1049. |
Vancouver | GEZER A,Özkan M Notes on the tangent bundle with deformed complete lift metric. Turkish Journal of Mathematics. 2014; 38(6): 1038 - 1049. |
IEEE | GEZER A,Özkan M "Notes on the tangent bundle with deformed complete lift metric." Turkish Journal of Mathematics, 38, ss.1038 - 1049, 2014. |
ISNAD | GEZER, AYDIN - Özkan, Mustafa Hulusi. "Notes on the tangent bundle with deformed complete lift metric". Turkish Journal of Mathematics 38/6 (2014), 1038-1049. |