Open Access
June 2022 Sasakian Finsler structures on pull-back bundles
Fortuné Massamba, Salomon Joseph Mbatakou
Author Affiliations +
SUT J. Math. 58(1): 1-21 (June 2022). DOI: 10.55937/sut/1654213999

Abstract

Under a pull-back approach given by T. Aikou and L. Kozma and firstly presented by D. Bao, S. S. Chern and Z. Shen, we introduce, in this paper, the concepts of almost contact and normal almost contact Finsler structures on the pull-back bundles. Properties of structures partly Sasakians are studied. Using the hh-curvature tensor of Chern connection given by D. Bao, S. S. Chern and Z. Shen, we obtain some characterizations of horizontal Sasakian Finsler structures and K-contact structures via the horizontal Ricci tensor and the flag curvature.

Funding Statement

This work is based on the research supported wholly / in part by the National Research Foundation of South Africa (Grant Number: 132190).

Acknowledgments

The second author would like to thank the University of KwaZulu-Natal for financial support.

Citation

Download Citation

Fortuné Massamba. Salomon Joseph Mbatakou. "Sasakian Finsler structures on pull-back bundles." SUT J. Math. 58 (1) 1 - 21, June 2022. https://doi.org/10.55937/sut/1654213999

Information

Received: 12 June 2021; Published: June 2022
First available in Project Euclid: 14 July 2022

MathSciNet: MR4449111
zbMATH: 1506.53027
Digital Object Identifier: 10.55937/sut/1654213999

Subjects:
Primary: 53B40 , 53D10 , 53D15

Keywords: almost contact structure , contact structure , Finslerian manifold

Rights: Copyright © 2022 Tokyo University of Science

Vol.58 • No. 1 • June 2022
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