Case Report

Some applications on tangent bundle with Kaluza-Klein metric

Volume: 5 Number: 1 January 1, 2017
EN

Some applications on tangent bundle with Kaluza-Klein metric

Abstract

In this paper, differential equations of geodesics; parallelism, incompressibility and closeness conditions of the horizontal and complete lift of the vector fields are investigated with respect to Kaluza-Klein metric on tangent bundle.

Keywords

References

  1. Sasaki, S., On the differential geometry of tangent bundles of Riemannian manifolds, Tohoku Math. Journal, 10 (3), 338-354, 1958.
  2. Dombrowski, P., On the differential geometry of tangent bundles, J. Reine Angew. Math., 210, 73–88, 1962.
  3. Musso, E. and Tricerri F., Riemannian metrics on tangent bundles, Ann. Mat. Pura Appl. 150 (4), 1–19, 1988.
  4. Sekizawa, M., Curvatures of tangent bundles with Cheeger–Gromoll metric, Tokyo J. Math. 14, 407–417, 1991.
  5. Anastasiei, M., Locally conformal Kaehler structures on tangent bundle of a space form, Libertas Math. 19, 71–76, 1999.
  6. Benyounes, M, Loubeau, E., and Todjihounde, L., Harmonic maps and Kaluza-Klein metrics on spheres, 42 (3), 791-821, 2012.
  7. Mok, K.P., On the differential geometry of frame bundles of Riemannian manifolds, J.für die reine und angewandte Math., 302, 16-31, 1978.
  8. Yano, K., and Ishihara S., Tangent and cotangent bundles, Marcel Dekker, 1973.

Details

Primary Language

English

Subjects

-

Journal Section

Case Report

Authors

Merve Tastan This is me
Türkiye

Publication Date

January 1, 2017

Submission Date

November 3, 2016

Acceptance Date

December 14, 2016

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Altunbas, M., & Tastan, M. (2017). Some applications on tangent bundle with Kaluza-Klein metric. New Trends in Mathematical Sciences, 5(1), 34-39. https://izlik.org/JA82PN48UT
AMA
1.Altunbas M, Tastan M. Some applications on tangent bundle with Kaluza-Klein metric. New Trends in Mathematical Sciences. 2017;5(1):34-39. https://izlik.org/JA82PN48UT
Chicago
Altunbas, Murat, and Merve Tastan. 2017. “Some Applications on Tangent Bundle With Kaluza-Klein Metric”. New Trends in Mathematical Sciences 5 (1): 34-39. https://izlik.org/JA82PN48UT.
EndNote
Altunbas M, Tastan M (January 1, 2017) Some applications on tangent bundle with Kaluza-Klein metric. New Trends in Mathematical Sciences 5 1 34–39.
IEEE
[1]M. Altunbas and M. Tastan, “Some applications on tangent bundle with Kaluza-Klein metric”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 34–39, Jan. 2017, [Online]. Available: https://izlik.org/JA82PN48UT
ISNAD
Altunbas, Murat - Tastan, Merve. “Some Applications on Tangent Bundle With Kaluza-Klein Metric”. New Trends in Mathematical Sciences 5/1 (January 1, 2017): 34-39. https://izlik.org/JA82PN48UT.
JAMA
1.Altunbas M, Tastan M. Some applications on tangent bundle with Kaluza-Klein metric. New Trends in Mathematical Sciences. 2017;5:34–39.
MLA
Altunbas, Murat, and Merve Tastan. “Some Applications on Tangent Bundle With Kaluza-Klein Metric”. New Trends in Mathematical Sciences, vol. 5, no. 1, Jan. 2017, pp. 34-39, https://izlik.org/JA82PN48UT.
Vancouver
1.Murat Altunbas, Merve Tastan. Some applications on tangent bundle with Kaluza-Klein metric. New Trends in Mathematical Sciences [Internet]. 2017 Jan. 1;5(1):34-9. Available from: https://izlik.org/JA82PN48UT