On the geometry of lift metrics and lift connections on the tangent bundle

Peyghan, Esmaeil; Seifipour, Davood; Blaga, Adara-Monica

doi:10.55730/1300-0098.3272

On the geometry of lift metrics and lift connections on the tangent bundle

Esmaeil PEYGHAN, (Department of Mathematics, Faculty of Science, Arak University, Arak, Iran)

Davood SEİFİPOUR, (Department of Mathematics, Abadan Branch, Islamic Azad University, Abadan, Iran)

Adara M. BLAGA (Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Timişoara, România)

Turkish Journal of Mathematics

3 0

Yıl: 2022 Cilt: 46 Sayı: 6 Sayfa Aralığı: 2335 - 2352 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3272 İndeks Tarihi: 09-12-2022

On the geometry of lift metrics and lift connections on the tangent bundle

Öz:

We study lift metrics and lift connections on the tangent bundle T M of a Riemannian manifold (M, g) . We also investigate the statistical and Codazzi couples of T M and their consequences on the geometry of M . Finally, we prove a result on 1 -Stein and Osserman structures on T M , whenever T M is equipped with the complete lift connection.

Anahtar Kelime: Codazzi manifold lift connections lift metrics Osserman structure statistical manifold

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Peyghan E, Seifipour D, Blaga A (2022). On the geometry of lift metrics and lift connections on the tangent bundle. , 2335 - 2352. 10.55730/1300-0098.3272
Chicago	Peyghan Esmaeil,Seifipour Davood,Blaga Adara-Monica On the geometry of lift metrics and lift connections on the tangent bundle. (2022): 2335 - 2352. 10.55730/1300-0098.3272
MLA	Peyghan Esmaeil,Seifipour Davood,Blaga Adara-Monica On the geometry of lift metrics and lift connections on the tangent bundle. , 2022, ss.2335 - 2352. 10.55730/1300-0098.3272
AMA	Peyghan E,Seifipour D,Blaga A On the geometry of lift metrics and lift connections on the tangent bundle. . 2022; 2335 - 2352. 10.55730/1300-0098.3272
Vancouver	Peyghan E,Seifipour D,Blaga A On the geometry of lift metrics and lift connections on the tangent bundle. . 2022; 2335 - 2352. 10.55730/1300-0098.3272
IEEE	Peyghan E,Seifipour D,Blaga A "On the geometry of lift metrics and lift connections on the tangent bundle." , ss.2335 - 2352, 2022. 10.55730/1300-0098.3272
ISNAD	Peyghan, Esmaeil vd. "On the geometry of lift metrics and lift connections on the tangent bundle". (2022), 2335-2352. https://doi.org/10.55730/1300-0098.3272

APA	Peyghan E, Seifipour D, Blaga A (2022). On the geometry of lift metrics and lift connections on the tangent bundle. Turkish Journal of Mathematics, 46(6), 2335 - 2352. 10.55730/1300-0098.3272
Chicago	Peyghan Esmaeil,Seifipour Davood,Blaga Adara-Monica On the geometry of lift metrics and lift connections on the tangent bundle. Turkish Journal of Mathematics 46, no.6 (2022): 2335 - 2352. 10.55730/1300-0098.3272
MLA	Peyghan Esmaeil,Seifipour Davood,Blaga Adara-Monica On the geometry of lift metrics and lift connections on the tangent bundle. Turkish Journal of Mathematics, vol.46, no.6, 2022, ss.2335 - 2352. 10.55730/1300-0098.3272
AMA	Peyghan E,Seifipour D,Blaga A On the geometry of lift metrics and lift connections on the tangent bundle. Turkish Journal of Mathematics. 2022; 46(6): 2335 - 2352. 10.55730/1300-0098.3272
Vancouver	Peyghan E,Seifipour D,Blaga A On the geometry of lift metrics and lift connections on the tangent bundle. Turkish Journal of Mathematics. 2022; 46(6): 2335 - 2352. 10.55730/1300-0098.3272
IEEE	Peyghan E,Seifipour D,Blaga A "On the geometry of lift metrics and lift connections on the tangent bundle." Turkish Journal of Mathematics, 46, ss.2335 - 2352, 2022. 10.55730/1300-0098.3272
ISNAD	Peyghan, Esmaeil vd. "On the geometry of lift metrics and lift connections on the tangent bundle". Turkish Journal of Mathematics 46/6 (2022), 2335-2352. https://doi.org/10.55730/1300-0098.3272