KaydedilenlerDerginizi ekleyin

Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2018 / Cilt: 36 - Sayı: 2

DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE

Haşim ÇAYIR
Sayfa
361–372
Yayın Tarihi
2018-06-01
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)

Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields.
📊
Temel Bulgular & Veri:In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields.
💡
Sonuç & Katkı:Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Covarient derivative · lie derivative · Cheeger-Gromoll metric

Abstract

In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

🔖

Bu Makaleye Atıf Yap

ÇAYIR, H. (2018). DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 36 - Sayı: 2, 361–372. https://ajindex.com/articles/419173

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. F. Ağca, A.A. Salimov, Some notes concerning Cheenger-Gromoll metrics. Hacet. J. Math. Stat., 42 (2013), no.5, 533-549
  2. J. Cheege, D. Gromoll, On the structure of complete manifolds of nonnegative curvature. Ann. of Math. 96 (1972), 413-443
  3. H. Çayır, Lie derivatives of almost contact structure and almost paracontact structure with respect to and on tangent bundle Proceedings of the Institute of Mathematics and Mechanics. 42 (2016), no.1, 38-49
  4. H. Çayır, Tachibana and Vishnevskii Operators Applied to and in Almost Paracontact Structure on Tangent Bundle Ordu Üniversitesi Bilim ve Teknoloji Dergisi, 6 (2016), no.1, 67-82
  5. H. Çayır, Tachibana and Vishnevskii Operators Applied to and in Almost Paracontact Structure on Tangent Bundle New Trends in Mathematical Sciences, 4 (2016), no.3, 105-115
  6. H. Çayır, G. Köseoğlu, Lie Derivatives of Almost Contact Structure and Almost Paracontact Structure With Respect to and on Tangent Bundle New Trends in Mathematical Sciences, 4 (2016), no.1, 153-159
  7. H. Çayır, K. Akdağ, Some notes on almost paracomplex structures associated with the diagonal lifts and operators on cotangent bundle. New Trends in Mathematical Sciences. 4 (2016), no.4, 42-50
  8. A. Gezer, M. Altunbas, Some notes concerning Riemannian metrics of Cheeger Gromoll type.- J. Math. Anal. Appl. 396 (2012), 119-132
  9. S. Gudmundsson, E. Kappos, On the geometry of the tangent bunles with the Chegeer-Gromoll metric.- Tokyo J. Math. 25 (2002), no.1, 75-83
  10. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry-Volume I. John Wiley & Sons, Inc, New York, 1963
  11. M. I. Muntenau, Chegeer Gromoll type metrics on the tangent bundle.- Sci. Ann. Univ. Agric. Sci. Vet. Med., 49 (2006), No.2, 257-268
  12. E. Musso and F. Tricerri, Riemannian metric on tangent bundles.- Ann. Math. Pura. Appl. 150 (1988), no.4, 1-19
  13. F. Ocak, Para-Nordenian Structures on the Cotangent Bundle with Respect to the Cheeger-Gromoll Metric.- Proceedings of the Institute of Mathematics and Mechanics, 41 (2015), no.2, 63-69
  14. A. A. Salimov,Tensor Operators and Their applications, Nova Science Publ., New York, 2013
  15. A. A. Salimov, A. Gezer and M. Iscan, On para-Kahler-Norden structures on the tangent bundles.- Ann. Polon. Math., 103 (2012), no.3, 247-261
  16. A. A. Salimov, S. Kazimova, Geodesics of the Cheeger-Gromoll metric.- Turk. J. Math., 32 (2008)
  17. M. Sekizawa, Curvatures of tangent bundles with Cheeger-Gromoll metric.- Tokyo