Complete Lifts of Structures on Manifold to Vector Subbundle

Volume: 25 Number: 3 April 10, 2012
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Complete Lifts of Structures on Manifold to Vector Subbundle

Abstract

In this study, we studied the complete lift of almost product, almost complex, almost contact and almost paracontact structures on a given manifold  to vector subbundle  of vector bundle . Moreover, we studied a correspondence between the integrability conditions of these structures on  and .

 

Key words: Complete lift, Almost product structure, Almost complex structure, Almost contact structure, Almost paracontact structure, Integrability.

Keywords

References

  1. [1] Omran, T., Sharffuddin, A., Husain, S.I., “Lifts of structures on manifolds”, Publications De L'institut Math., 36 (50), 93-97, (1984).
  2. [2] Özkan, M., “Complete lifts of tensor fields to vector bundle” Int.J.Math.Sci.App., 2 (2), 593-599, (2012).
  3. [3] Özkan, M., Esin, E., “Vertical lifts of tensor fields to vector bundle”, Algebras Groups Geom., 25(1), 21-30, (2008)
  4. [4] Özkan, M., Keçilioğlu, O., “On complete lift of a tensor field of type 1,1 to vector bundle” (submitted for publication).
  5. [5] Sasaki, S., “On differentiable manifolds with certain structures which are closely related to almost contact structures I”, Tohoku Math. Jour., 12, 459-476, (1960).
  6. [6] Sasaki, S., Hatakeyama, Y., “On differentiable manifolds with certain structures which are closely related to almost contact structures II”, Tohoku Math. Jour., 13, 281-294, (1961).
  7. [7] Yano, K., Differential geometry on complex and almost complex spaces, New York, Pergamon Press, (1965).
  8. [8] Yano, K., Ishihara, S., “Almost complex structures induced in tangent bundles”, Kodai Math. Sem. Rep., 19, 1-27, (1967).

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

April 10, 2012

Submission Date

April 10, 2012

Acceptance Date

-

Published in Issue

Year 2012 Volume: 25 Number: 3

APA
Ozkan, M. (2012). Complete Lifts of Structures on Manifold to Vector Subbundle. Gazi University Journal of Science, 25(3), 661-664. https://izlik.org/JA27DF73YC
AMA
1.Ozkan M. Complete Lifts of Structures on Manifold to Vector Subbundle. Gazi University Journal of Science. 2012;25(3):661-664. https://izlik.org/JA27DF73YC
Chicago
Ozkan, Mustafa. 2012. “Complete Lifts of Structures on Manifold to Vector Subbundle”. Gazi University Journal of Science 25 (3): 661-64. https://izlik.org/JA27DF73YC.
EndNote
Ozkan M (July 1, 2012) Complete Lifts of Structures on Manifold to Vector Subbundle. Gazi University Journal of Science 25 3 661–664.
IEEE
[1]M. Ozkan, “Complete Lifts of Structures on Manifold to Vector Subbundle”, Gazi University Journal of Science, vol. 25, no. 3, pp. 661–664, July 2012, [Online]. Available: https://izlik.org/JA27DF73YC
ISNAD
Ozkan, Mustafa. “Complete Lifts of Structures on Manifold to Vector Subbundle”. Gazi University Journal of Science 25/3 (July 1, 2012): 661-664. https://izlik.org/JA27DF73YC.
JAMA
1.Ozkan M. Complete Lifts of Structures on Manifold to Vector Subbundle. Gazi University Journal of Science. 2012;25:661–664.
MLA
Ozkan, Mustafa. “Complete Lifts of Structures on Manifold to Vector Subbundle”. Gazi University Journal of Science, vol. 25, no. 3, July 2012, pp. 661-4, https://izlik.org/JA27DF73YC.
Vancouver
1.Mustafa Ozkan. Complete Lifts of Structures on Manifold to Vector Subbundle. Gazi University Journal of Science [Internet]. 2012 Jul. 1;25(3):661-4. Available from: https://izlik.org/JA27DF73YC