SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: 3

Metric connection on tangent bundle with Berger-type deformed Sasaki metric

Lokman BİLEN
Pages
1036–1047
Publication Date
2022-11-01
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)

Next, we present some geometricresults concerning them.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let TM be the tangent bundle over an almost antipara-Hermitian manifold endowed with Berger-type deformed Sasaki metric $^{BS}g$ .
📊
Key Findings & Data:In this paper, we introduce the deformed Sasaki metric which Berger-type and study the metric connection of this metric on the tangent bundle.
💡
Conclusion & Impact:Next, we present some geometricresults concerning them.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let TM be the tangent bundle over an almost antipara-Hermitian manifold endowed with Berger-type deformed Sasaki metric $^{BS}g$ . In this paper, we introduce the deformed Sasaki metric which Berger-type and study the metric connection of this metric on the tangent bundle. We give some curvature properties of this metric and characterization of projective vector field which preserving the fiber of $(TM,^{BS} g)$. Next, we present some geometricresults concerning them.

🔖

Cite This Article

BİLEN, L. (2022). Metric connection on tangent bundle with Berger-type deformed Sasaki metric. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 3, 1036–1047. https://ajindex.com/articles/607282

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Altunbaş M, Şimşek R, Gezer A. A study concerning Berger type deformed Sasaki metric on the tangent bundle. Journal of Mathematical Physics, Analysis, Geometry 2019
  2. 15 (4): 435-447. doi:10.15407/mag15.04 [2] Gezer A. On the tangent bundle with deformed Sasaki metric. International Electronic Journal of Geometry 2013
  3. 6 (2): 19-31. [3] Gezer A. On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric. Proceedings of the Estonian Academy of Sciences 2011
  4. 60 (3): 149-157. doi:10.3176/proc.2011.3.02 [4] Gezer A, Altunbaş M. On the geometry of the rescaled Riemannian metric on tensor bundles of arbitrary type. Kodai Mathematical Journal 2015
  5. 38 (1): 37-64. doi: 10.2996/kmj/1426684442 [5] Gezer A, Altunbaş M. Some notes concerning Riemannian metrics of Cheeger-Gromoll type. Journal of Mathematical Analysis and Applications 2012
  6. 396 (1): 119-132. doi:10.1016/j.jmaa.2012.06.011 [6] Gezer A, Bilen L. Projective vector fields on the tangent bundle with a class of Riemannian metrics. Comtes rendus de l’Academia bulgare des Sciences 2018
  7. 71 (5): 587-596. doi:10.7546/CRABS.2018.05.01 [7] Gezer A, Bilen L, Karaman Ç, Altunbaş M. Curvature properties of Riemannian metrics of the forms $^Sgf +^H g$ on the tangent bundle over a Riemannian manifold (M,g). International Electronic Journal of Geometry 2015
  8. 8(2): 181-194. doi:10.36890/iejg.592306 [8] Gudmundsson S, Kappos E. On the Geometry of the Tangent Bundles. Expositiones Mathematicae 2002
  9. 20 (1): 1-41. doi:10.1016/S0723-0869(02)80027-5 [9] Hayden HA. Sub-spaces of a space with torsion. Proceedings of the London Mathematical Society 1932
  10. 34 (1): 27-50. doi:10.1112/plms/s2-34.1.27 [10] Hou HZ, Sun L. Geometry of tangent bundle with Cheeger-Gromoll type metric. Journal of Mathematical Analysis and Applications 2013
  11. 402 (2): 493-504. doi:10.1016/j.jmaa.2013.01.043 [11] Kowalski O. Curvature of the induced Riemannian metric of the tangent bundle of Riemannian manifold. Journal für die reine und angewandte Mathematik 1971
  12. doi:10.1515/crll.1971.250.124 [12] Munteanu MI. Some aspects on the geometry of the tangent bundles and tangent sphere bundles of a Riemannian manifold. Mediterranean Journal of Mathematics 2008
  13. 5 (1): 43-59. doi:10.1007/s00009-008-0135-4 [13] Musso E, Tricerri F. Riemannian Metrics on Tangent Bundles. Annali di Maematica Pura ed Applicata 1988
  14. 150 (4): 1-19. doi:10.1007/BF01761461 [14] Salimov AA, Iscan M, Etayo F. Paraholom