KaydedilenlerDerginizi ekleyin

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

Some applications on tangent bundle with Kaluza-Klein metric

Murat ALTUNBAS
Merve TASTAN
Sayfa
34–39
Yayın Tarihi
2017-01-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (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.