Research Article

Complete lifts of vector fields to the special class of semi-tensor bundle

Volume: 6 Number: 2 October 15, 2018
EN

Complete lifts of vector fields to the special class of semi-tensor bundle

Abstract

Using projection (submersion) of the cotangent bundle T*M over a manifold M, we define a semi-tensor (pull-back) bundle tM of type (p,q). The present paper is devoted to some results concerning with the complete lifts of vector fields from manifold M to its (p,q)-semitensor bundle.



Keywords

References

  1. [1] A. Gezer, A. A. Salimov, Almost complex structures on the tensor bundles, Arab. J. Sci. Eng. Sect. A Sci. 33 (2008), no. 2, 283–296.
  2. [2] D. Husemolle, Fibre Bundles. Springer, New York, 1994.
  3. [3] H.B. Lawson and M.L. Michelsohn, Spin Geometry. Princeton University Press., Princeton, 1989.
  4. [4] A.J. Ledger and K. Yano, Almost complex structure on tensor bundles, J. Dif. Geom. 1 (1967), 355-368.
  5. [5] A. Salimov, Tensor Operators and their Applications. Nova Science Publ., New York, 2013.
  6. [6] A. A. Salimov and E. Kadıo˘glu, Lifts of Derivations to the Semitangent Bundle, Turk J. Math. 24 (2000), 259-266.
  7. [7] N. Steenrod, The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  8. [8] K. Yano and S. Ishihara, Tangent and Cotangent Bundles. Marcel Dekker, Inc., New York, 1973.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 15, 2018

Submission Date

May 14, 2018

Acceptance Date

October 30, 2018

Published in Issue

Year 2018 Volume: 6 Number: 2

APA
Polat, M. (2018). Complete lifts of vector fields to the special class of semi-tensor bundle. Konuralp Journal of Mathematics, 6(2), 332-337. https://izlik.org/JA66JL87ET
AMA
1.Polat M. Complete lifts of vector fields to the special class of semi-tensor bundle. Konuralp J. Math. 2018;6(2):332-337. https://izlik.org/JA66JL87ET
Chicago
Polat, Murat. 2018. “Complete Lifts of Vector Fields to the Special Class of Semi-Tensor Bundle”. Konuralp Journal of Mathematics 6 (2): 332-37. https://izlik.org/JA66JL87ET.
EndNote
Polat M (October 1, 2018) Complete lifts of vector fields to the special class of semi-tensor bundle. Konuralp Journal of Mathematics 6 2 332–337.
IEEE
[1]M. Polat, “Complete lifts of vector fields to the special class of semi-tensor bundle”, Konuralp J. Math., vol. 6, no. 2, pp. 332–337, Oct. 2018, [Online]. Available: https://izlik.org/JA66JL87ET
ISNAD
Polat, Murat. “Complete Lifts of Vector Fields to the Special Class of Semi-Tensor Bundle”. Konuralp Journal of Mathematics 6/2 (October 1, 2018): 332-337. https://izlik.org/JA66JL87ET.
JAMA
1.Polat M. Complete lifts of vector fields to the special class of semi-tensor bundle. Konuralp J. Math. 2018;6:332–337.
MLA
Polat, Murat. “Complete Lifts of Vector Fields to the Special Class of Semi-Tensor Bundle”. Konuralp Journal of Mathematics, vol. 6, no. 2, Oct. 2018, pp. 332-7, https://izlik.org/JA66JL87ET.
Vancouver
1.Murat Polat. Complete lifts of vector fields to the special class of semi-tensor bundle. Konuralp J. Math. [Internet]. 2018 Oct. 1;6(2):332-7. Available from: https://izlik.org/JA66JL87ET
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