Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2023; 38(4): 1233-1247

Online first article October 23, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c230006

Copyright © The Korean Mathematical Society.

Complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles

Uday Chand De, Mohammad Nazrul Islam Khan

University of Calcutta 35, Ballygaunge Circular Road; Qassim University

Abstract

The aim of the present paper is to study complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles. Some curvature properties of a Riemannian manifold to its tangent bundles with respect to such a connection have been investigated.

Keywords: Complete lift, tangent bundle, semi-symmetric non-metric connection, curvature tensor, Weyl curvature tensor, mathematical operators, Ricci tensor, Ricci-semisymmetric, partial differential equations

MSC numbers: Primary 53C05, 53C25, 58A30

Supported by: Researcher would like to thank the Deanship of Scientific
Research, Qassim University, for funding publication of this project.