Research Article
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On Semi-Tensor Bundle

Year 2018, , 93 - 99, 30.04.2018
https://doi.org/10.36890/iejg.545102

Abstract

We investigate some lifts of tensor fields of type (1,0) on a cross-section in the semi-tensor (pullback)
bundle tM of tensor bundle TM of type (p,q) by using projection (submersion) of the
cotangent bundle T*M and we find some relation for them.

References

  • [1] Isham, C.J., Modern Differential Geometry for Physicists. World Scientific, 1999.
  • [2] 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.
  • [3] 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.
  • [4] Husemoller, D., Fibre Bundles. Springer, New York, 1994.
  • [5] Lawson, H.B. and Michelsohn, M.L., Spin Geometry. Princeton University Press., Princeton, 1989.
  • [6] Ledger, A.J. and Yano, K., Almost complex structure on tensor bundles. J. Dif. Geom., 1 (1967), 355-368.
  • [7] Salimov, A., Tensor Operators and their Applications. Nova Science Publ., New York, 2013.
  • [8] Salimov, A.A. and Kadıo˘ glu, E., Lifts of derivations to the semitangent bundle. Turk J. Math., 24 (2000), 259-266.
  • [9] Steenrod, N., The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  • [10] Yano, K. and Ishihara, S., Tangent and Cotangent Bundles. Marcel Dekker, Inc., New York, 1973.
  • [11] 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.
  • [12] Yıldırım, F. and Salimov A., Semi-cotangent bundle and problems of lifts. Turk J. Math., 38 (2014), 325-339.
  • [13] Yıldırım, F., Note on the cross-section in the semi-tensor bundle. New Trends in Mathematical Sciences, 5 (2017) , no. 2, 212-221.
  • [14] Yıldırım, F., Asl, M.B. and Jabrailzade, F., Vector and affinor fields on cross-sections in the semi-cotangent bundle. Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 43 (2017), no. 2, 305-315.
Year 2018, , 93 - 99, 30.04.2018
https://doi.org/10.36890/iejg.545102

Abstract

References

  • [1] Isham, C.J., Modern Differential Geometry for Physicists. World Scientific, 1999.
  • [2] 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.
  • [3] 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.
  • [4] Husemoller, D., Fibre Bundles. Springer, New York, 1994.
  • [5] Lawson, H.B. and Michelsohn, M.L., Spin Geometry. Princeton University Press., Princeton, 1989.
  • [6] Ledger, A.J. and Yano, K., Almost complex structure on tensor bundles. J. Dif. Geom., 1 (1967), 355-368.
  • [7] Salimov, A., Tensor Operators and their Applications. Nova Science Publ., New York, 2013.
  • [8] Salimov, A.A. and Kadıo˘ glu, E., Lifts of derivations to the semitangent bundle. Turk J. Math., 24 (2000), 259-266.
  • [9] Steenrod, N., The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  • [10] Yano, K. and Ishihara, S., Tangent and Cotangent Bundles. Marcel Dekker, Inc., New York, 1973.
  • [11] 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.
  • [12] Yıldırım, F. and Salimov A., Semi-cotangent bundle and problems of lifts. Turk J. Math., 38 (2014), 325-339.
  • [13] Yıldırım, F., Note on the cross-section in the semi-tensor bundle. New Trends in Mathematical Sciences, 5 (2017) , no. 2, 212-221.
  • [14] Yıldırım, F., Asl, M.B. and Jabrailzade, F., Vector and affinor fields on cross-sections in the semi-cotangent bundle. Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 43 (2017), no. 2, 305-315.
There are 14 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Furkan Yıldırım

Publication Date April 30, 2018
Published in Issue Year 2018

Cite

APA Yıldırım, F. (2018). On Semi-Tensor Bundle. International Electronic Journal of Geometry, 11(1), 93-99. https://doi.org/10.36890/iejg.545102
AMA Yıldırım F. On Semi-Tensor Bundle. Int. Electron. J. Geom. April 2018;11(1):93-99. doi:10.36890/iejg.545102
Chicago Yıldırım, Furkan. “On Semi-Tensor Bundle”. International Electronic Journal of Geometry 11, no. 1 (April 2018): 93-99. https://doi.org/10.36890/iejg.545102.
EndNote Yıldırım F (April 1, 2018) On Semi-Tensor Bundle. International Electronic Journal of Geometry 11 1 93–99.
IEEE F. Yıldırım, “On Semi-Tensor Bundle”, Int. Electron. J. Geom., vol. 11, no. 1, pp. 93–99, 2018, doi: 10.36890/iejg.545102.
ISNAD Yıldırım, Furkan. “On Semi-Tensor Bundle”. International Electronic Journal of Geometry 11/1 (April 2018), 93-99. https://doi.org/10.36890/iejg.545102.
JAMA Yıldırım F. On Semi-Tensor Bundle. Int. Electron. J. Geom. 2018;11:93–99.
MLA Yıldırım, Furkan. “On Semi-Tensor Bundle”. International Electronic Journal of Geometry, vol. 11, no. 1, 2018, pp. 93-99, doi:10.36890/iejg.545102.
Vancouver Yıldırım F. On Semi-Tensor Bundle. Int. Electron. J. Geom. 2018;11(1):93-9.