Jacobi fields on the manifold of Gamma exponential

Document Type

Journal Article

Publication Title

Journal of Interdisciplinary Mathematics

Publisher

Taylor & Francis

School

School of Science

RAS ID

36835

Comments

Arif, M. S., Zhang, E., & Sun, H. F. (2019). Jacobi fields on the manifold of Gamma exponential. Journal of Interdisciplinary Mathematics, 22(5), 609-619. https://doi.org/10.1080/09720502.2015.1026462

Abstract

In this paper, the Gamma exponential distribution is treated as a statistical manifold and the geometric structures of Gamma exponential manifold are considered. First, we de- fine a Riemannian metric and introduce the a - connections and the a - curvature tensor. Then, the Jacobi field on the Gamma exponential manifold has been considered to investigate the instability of the geodesics in view of differential geometry. Moreover, some examples are given to illustrate our results.

DOI

10.1080/09720502.2015.1026462

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