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

Authors

ESMAEIL PEYGHAN
DAVOOD SEIFIPOUR
ADARA BLAGA

Abstract

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

DOI

10.55730/1300-0098.3272

Keywords

Codazzi manifold, lift connections, lift metrics, Osserman structure, statistical manifold

First Page

2335

Last Page

2352

Recommended Citation

PEYGHAN, ESMAEIL; SEIFIPOUR, DAVOOD; and BLAGA, ADARA (2022) "On the geometry of lift metrics and lift connections on the tangent bundle," Turkish Journal of Mathematics: Vol. 46: No. 6, Article 20. https://doi.org/10.55730/1300-0098.3272
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/20