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Makale Tam Makale Uluslararası 2019

A Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle

MURAT ALTUNBAŞ, RAMAZAN ŞİMŞEK, Aydın Gezer

Journal of Mathematical Physics, Analysis, Geometry Cilt 15 · Sayı 4 · ss. 435–447 · 01.01.2019
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Özet

Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with Berger type deformed Sasaki metric g B s. In this paper, first, we obtain the Levi-Civita connection of this metric and study geodesics on TM. Secondly, we construct some almost anti-paraHermitian structures on TM and search conditions for these structures to be anti-paraKahler and quasi-anti-paraKahler. Finally, we present certain Riemannian curvature properties of (TM, g(BS)).

Anahtar kelimeler

Tangent bundle paracomplex structure GEOMETRY Geodesics Berger type deformed Sasaki metric Riemannian metrics natural metrics

Atıf için künye

ALTUNBAŞ, M., ŞİMŞEK, R., & Gezer, A. (2019). A Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle. Journal of Mathematical Physics, Analysis, Geometry, 15(4), 435–447. https://doi.org/10.15407/mag15.04.435

BibTeX 
@article{altunbas2019-73782,
  author = {ALTUNBAŞ, MURAT and ŞİMŞEK, RAMAZAN and Gezer, Aydın},
  title = {A Study Concerning Berger Type Deformed Sasaki Metric on the Tangent Bundle},
  journal = {Journal of Mathematical Physics, Analysis, Geometry},
  year = {2019},
  volume = {15},
  number = {4},
  pages = {435--447},
  issn = {1812-9471},
  doi = {10.15407/mag15.04.435},
  url = {https://akademik.atauni.edu.tr/yayinlar/73782-a-study-concerning-berger-type-deformed-sasaki-metric-on-the-tangent-bundle}
}