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Some Notes On (2,0)-Semitensor Bundle

Year 2018, Volume: 6 Issue: 2, 246 - 252, 15.10.2018

Abstract

We investigate some lifts of vector fields on a cross-section in the semi-tensor (pull-back) bundle tM of tensor bundle of type (2,0) by using projection (submersion) of the tangent bundle TM and we find some relation for them.



References

  • [1] Isham C.J., ”Modern Differential Geometry for Physicists”, World Scientific, 1999.
  • [2] Fattaev H., Tensor fields on cross-section in the tensor bundle of the type (2,0). News of Baku Univ., Physico-mathematical Sciences Series, (2008), no: 4, p.35-43.
  • [3] Fattaev H., The lifts of vector fields to the semitensor bundle of the Type (2, 0), Journal of Qafqaz University, 25 (2009), no. 1, 136-140.
  • [4] Gezer A., Salimov A.A., Almost complex structures on the tensor bundles, Arab. J. Sci. Eng. Sect. A Sci. 33 (2008), no. 2, 283–296.
  • [5] Husemoller D. Fibre Bundles. Springer, New York, 1994.
  • [6] Lawson H.B. And Michelsohn M.L. Spin Geometry. Princeton University Press., Princeton, 1989.
  • [7] Ledger A.J. and Yano K. Almost complex structure on tensor bundles, J. Dif. Geom. 1 (1967), 355-368.
  • [8] Pontryagin L.S. Characteristic cycles on differentiable manifolds. Amer. Math. Soc. Translation, 1950 (1950), no. 32, 72 pp.
  • [9] Salimov A. Tensor Operators and their Applications. Nova Science Publ., New York, 2013.
  • [10] Salimov A.A. and Kadıo˘glu E. Lifts of derivations to the semitangent Bundle, Turk J. Math., (2000) 24, 259-266.
  • [11] Salimov A., Gezer A. and Akbulut K. Geodesics of Sasakian metrics on tensor bundles, Mediterr. J. Math. 2, 135-147
  • [12] Steenrod N. The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  • [13] Yano K. And Ishihara S. Tangent and Cotangent Bundles. Marcel Dekker, Inc., New York, 1973.
  • [14] Yıldırım F., On a special class of semi-cotangent bundle, Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 41 (2015), no. 1, 25-38.
  • [15] Yıldırım F. and Salimov A. Semi-cotangent bundle and problems of lifts, Turk J. Math, (2014), 38, 325-339.
Year 2018, Volume: 6 Issue: 2, 246 - 252, 15.10.2018

Abstract

References

  • [1] Isham C.J., ”Modern Differential Geometry for Physicists”, World Scientific, 1999.
  • [2] Fattaev H., Tensor fields on cross-section in the tensor bundle of the type (2,0). News of Baku Univ., Physico-mathematical Sciences Series, (2008), no: 4, p.35-43.
  • [3] Fattaev H., The lifts of vector fields to the semitensor bundle of the Type (2, 0), Journal of Qafqaz University, 25 (2009), no. 1, 136-140.
  • [4] Gezer A., Salimov A.A., Almost complex structures on the tensor bundles, Arab. J. Sci. Eng. Sect. A Sci. 33 (2008), no. 2, 283–296.
  • [5] Husemoller D. Fibre Bundles. Springer, New York, 1994.
  • [6] Lawson H.B. And Michelsohn M.L. Spin Geometry. Princeton University Press., Princeton, 1989.
  • [7] Ledger A.J. and Yano K. Almost complex structure on tensor bundles, J. Dif. Geom. 1 (1967), 355-368.
  • [8] Pontryagin L.S. Characteristic cycles on differentiable manifolds. Amer. Math. Soc. Translation, 1950 (1950), no. 32, 72 pp.
  • [9] Salimov A. Tensor Operators and their Applications. Nova Science Publ., New York, 2013.
  • [10] Salimov A.A. and Kadıo˘glu E. Lifts of derivations to the semitangent Bundle, Turk J. Math., (2000) 24, 259-266.
  • [11] Salimov A., Gezer A. and Akbulut K. Geodesics of Sasakian metrics on tensor bundles, Mediterr. J. Math. 2, 135-147
  • [12] Steenrod N. The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  • [13] Yano K. And Ishihara S. Tangent and Cotangent Bundles. Marcel Dekker, Inc., New York, 1973.
  • [14] Yıldırım F., On a special class of semi-cotangent bundle, Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 41 (2015), no. 1, 25-38.
  • [15] Yıldırım F. and Salimov A. Semi-cotangent bundle and problems of lifts, Turk J. Math, (2014), 38, 325-339.
There are 15 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Furkan Yıldırım 0000-0003-0081-7857

Publication Date October 15, 2018
Submission Date May 11, 2018
Acceptance Date July 2, 2018
Published in Issue Year 2018 Volume: 6 Issue: 2

Cite

APA Yıldırım, F. (2018). Some Notes On (2,0)-Semitensor Bundle. Konuralp Journal of Mathematics, 6(2), 246-252.
AMA Yıldırım F. Some Notes On (2,0)-Semitensor Bundle. Konuralp J. Math. October 2018;6(2):246-252.
Chicago Yıldırım, Furkan. “Some Notes On (2,0)-Semitensor Bundle”. Konuralp Journal of Mathematics 6, no. 2 (October 2018): 246-52.
EndNote Yıldırım F (October 1, 2018) Some Notes On (2,0)-Semitensor Bundle. Konuralp Journal of Mathematics 6 2 246–252.
IEEE F. Yıldırım, “Some Notes On (2,0)-Semitensor Bundle”, Konuralp J. Math., vol. 6, no. 2, pp. 246–252, 2018.
ISNAD Yıldırım, Furkan. “Some Notes On (2,0)-Semitensor Bundle”. Konuralp Journal of Mathematics 6/2 (October 2018), 246-252.
JAMA Yıldırım F. Some Notes On (2,0)-Semitensor Bundle. Konuralp J. Math. 2018;6:246–252.
MLA Yıldırım, Furkan. “Some Notes On (2,0)-Semitensor Bundle”. Konuralp Journal of Mathematics, vol. 6, no. 2, 2018, pp. 246-52.
Vancouver Yıldırım F. Some Notes On (2,0)-Semitensor Bundle. Konuralp J. Math. 2018;6(2):246-52.
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