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

Authors

ESMAEIL PEYGHAN
DAVOOD SEIFIPOUR
ADARA BLAGA

DOI

10.55730/1300-0098.3272

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.

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