T-FLATNESS AND BOCHNER FLATNESS OF THE TANGENT BUNDLES OF LIE GROUPS

ALTUNBAŞ, MURAT

doi:10.30546/2409-4994.48.2.2022.206

T-FLATNESS AND BOCHNER FLATNESS OF THE TANGENT BUNDLES OF LIE GROUPS

Atıf İçin Kopyala

ALTUNBAŞ M.

Proceedings of the Institute of Mathematics and Mechanics, cilt.48, sa.2, ss.206-213, 2022 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 48 Sayı: 2
Basım Tarihi: 2022
Doi Numarası: 10.30546/2409-4994.48.2.2022.206
Dergi Adı: Proceedings of the Institute of Mathematics and Mechanics
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.206-213
Anahtar Kelimeler: Bochner tensor, T-tensor, tangent Lie group
Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

© 2022, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.Let (G, g) be a bi-invariant Lie group and (T G, ˜g) be its tangent bundle. In this paper, we compute the˜T −curvature tensor and a Bochner tensor˜B on (T G, ˜g) and show that their flatnesses are related with flatness of the base manifold (G, g).