Yıl 2020, Cilt 10 , Sayı 1, Sayfalar 595 - 600 2020-03-01

Kotanjant Demette Riemann Konneksiyonun g-liftine göre Burulma Tensörü ve Geodezikler
Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle

Rabia ÇAKAN AKPINAR [1]


Bu çalışmada, 𝑇∗𝑀 kotanjant demette Riemann konneksiyonun g-liftine göre burulma tensörü
ve geodezikler incelenir. İlk olarak, 𝑇∗𝑀 kotanjant demet üzerindeki Riemann konneksiyonun g-liftinin
bileşenleri kullanılarak  Riemann konneksiyonun g-liftine göre burulma tensor bileşenleri elde edilir.
Böylece  Riemann konneksiyonun g-liftine göre burulma tensörü belirlenir. Son olarak,  Riemann
konneksiyonun g-liftine göre 𝑇∗𝑀 kotanjant demet üzerindeki geodezikler çalışılır.

n this study, the geodesics and torsion tensor according to g-lift of Riemannian
connection  on cotangent bundle 𝑇∗𝑀 are investigated. Firstly, using the components of g-lift of
Riemannian connection  on cotangent bundle 𝑇∗𝑀 the components of torsion tensor according to glift
of Riemannian connection  are obtained. So the torsion tensor according to g-lift of Riemannian
connection  are determined. Finally, geodesics on cotangent bundle 𝑇∗𝑀 according to g-lift of
Riemannian connection  are studied.
  • Cakan R, Akbulut K, Salimov A, 2016. Musical Isomorphisms and Problems of Lifts. Chinese Annals of Mathematics Series B, 37(3): 323-330.
  • Cakan R, Kemer E, 2019. The g-lift of Affine Connection in the Cotangent Bundle. Punjab University Journal of Mathematics, 51(11): 53-62.
  • Cengiz N, Salimov AA, 2002. Geodesics in the Tensor Bundle of Diagonal Lİfts. Haccettepe Journal of Mathematics and Statistics, 31: 1-11.
  • Çayır H, 2019a. On Integrability Conditions, Operators and the Purity Conditions of the Sasakian Metric with respect to lifts of structure on the cotangent bundle. Turkish Journal of Mathematics, 43(1): 186-198.
  • Çayır H, 2019b. Derivatives of Sasakian metric on Cotangent Bundle. Communications Faculty Sciences University of Ankara Series A1-Mathematics and Statistics, 68(1): 751-761.
  • Druta Romaniuc SL, 2012. Natural Diagonal Riemannian Almost Product and Para-Hermitian Cotangent Bundles. Czechoslovak Mathematical Journal, 62(4): 937-949.
  • Kurek J, Mikulski WM, 2013. The Natural Operators Lifting Connections to Tensor Powers of the Cotangent Bundle. Miskolc Mathematical Notes, 14: 517-524.
  • Mağden A, Salimov AA, 2004. Geodesics for Complete Lifts of Affine Connections in Tensor Bundles. Applied Mathematics and Computation, 151: 863-868.
  • Salimov AA, Cakan R, 2017. Problems of lifts. Proceeding of the Institute of Mathematics and Mechanics, 43(1): 161-170.
  • Mok KP, 1977. Metrics and Connections on the Cotangent Bundles. Kodai Mathematical Seminar Reports, 28: 226-238.
  • Yano K, Ishihara S, 1973. Tangent and Cotangent Bundles. Marcel Dekker, New York.
  • Yano K, Patterson EM, 1967. Vertical and Complete Lifts from a manifold to its Cotangent Bundle. Journal of the Mathematical Society of Japan, 19: 91-113.
Birincil Dil en
Konular Matematik
Yayımlanma Tarihi Mart-2020
Bölüm Matematik / Mathematics
Yazarlar

Orcid: 0000-0001-9885-6373
Yazar: Rabia ÇAKAN AKPINAR (Sorumlu Yazar)
Kurum: KAFKAS ÜNİVERSİTESİ
Ülke: Turkey


Tarihler

Başvuru Tarihi : 20 Eylül 2019
Kabul Tarihi : 28 Kasım 2019
Yayımlanma Tarihi : 1 Mart 2020

Bibtex @araştırma makalesi { jist622820, journal = {Journal of the Institute of Science and Technology}, issn = {2146-0574}, eissn = {2536-4618}, address = {}, publisher = {Iğdır Üniversitesi}, year = {2020}, volume = {10}, pages = {595 - 600}, doi = {10.21597/jist.622820}, title = {Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle}, key = {cite}, author = {ÇAKAN AKPINAR, Rabia} }
APA ÇAKAN AKPINAR, R . (2020). Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle. Journal of the Institute of Science and Technology , 10 (1) , 595-600 . DOI: 10.21597/jist.622820
MLA ÇAKAN AKPINAR, R . "Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle". Journal of the Institute of Science and Technology 10 (2020 ): 595-600 <https://dergipark.org.tr/tr/pub/jist/issue/52503/622820>
Chicago ÇAKAN AKPINAR, R . "Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle". Journal of the Institute of Science and Technology 10 (2020 ): 595-600
RIS TY - JOUR T1 - Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle AU - Rabia ÇAKAN AKPINAR Y1 - 2020 PY - 2020 N1 - doi: 10.21597/jist.622820 DO - 10.21597/jist.622820 T2 - Journal of the Institute of Science and Technology JF - Journal JO - JOR SP - 595 EP - 600 VL - 10 IS - 1 SN - 2146-0574-2536-4618 M3 - doi: 10.21597/jist.622820 UR - https://doi.org/10.21597/jist.622820 Y2 - 2019 ER -
EndNote %0 Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle %A Rabia ÇAKAN AKPINAR %T Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle %D 2020 %J Journal of the Institute of Science and Technology %P 2146-0574-2536-4618 %V 10 %N 1 %R doi: 10.21597/jist.622820 %U 10.21597/jist.622820
ISNAD ÇAKAN AKPINAR, Rabia . "Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle". Journal of the Institute of Science and Technology 10 / 1 (Mart 2020): 595-600 . https://doi.org/10.21597/jist.622820
AMA ÇAKAN AKPINAR R . Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle. Iğdır Üniv. Fen Bil Enst. Der.. 2020; 10(1): 595-600.
Vancouver ÇAKAN AKPINAR R . Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle. Journal of the Institute of Science and Technology. 2020; 10(1): 600-595.