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trenKotanjant Demette Riemann Konneksiyonun g-liftine göre Burulma Tensörü ve GeodeziklerGeodesics 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.
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Birincil Dil en Matematik Mart-2020 Matematik / Mathematics Orcid: 0000-0001-9885-6373Yazar: Rabia ÇAKAN AKPINAR (Sorumlu Yazar)Kurum: KAFKAS ÜNİVERSİTESİÜlke: Turkey 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 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.

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