SavedAdd your journal

Journals / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 1

Some applications on tangent bundle with Kaluza-Klein metric

Murat ALTUNBAS
Merve TASTAN
Pages
34–39
Publication Date
2017-01-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kaluza-Klein metric · tangent bundle · geodesics

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.

🔖

Cite This Article

ALTUNBAS, M., TASTAN, M. (2017). Some applications on tangent bundle with Kaluza-Klein metric. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 1, 34–39. https://ajindex.com/articles/1003755

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  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.
  9. Salimov, A. and Kazimova S., Geodesics of the Cheeger-Gromoll metric, Turkish J. of Math., 33, 99-105, 2009.
  10. Gezer, A. and Altunbaş, M., Some notes concerning Riemannian metrics of Cheeger-Gromoll type, J. Math. Anal. Appl., 396, 119-132, 2012.