Contact Structure on the Indicatrix Bundle of Finslerian Warped Product Manifolds

TL;DR

This paper investigates contact and Sasakian structures on the indicatrix bundle of Finslerian warped product manifolds and explores the Kähler structure on their tangent bundles, revealing that the indicatrix bundle cannot be Sasakian.

Contribution

It provides a detailed analysis of contact and Sasakian structures on indicatrix bundles in Finslerian warped products and examines Kähler structures on tangent bundles, highlighting new geometric properties.

Findings

Indicatrix bundle cannot be Sasakian.

Contact structures are characterized on the indicatrix bundle.

Kähler structures are studied for different metrics.

Abstract

In this paper, a comprehensive study of contact and Sasakian structures on the indicatrix bundle of Finslerian warped product manifolds is reconstructed. In addition, the Kahler structure on the tangent bundle of these manifolds is studied for some different metrics. Throughout the paper, the contact structure of indicatrix bundle in warped product Finsler manifolds is presented. It is shown that indicatrix bundle cannot be a Sasakian manifold.