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