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): 1249-1260

Online first article October 12, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c230022

Copyright © The Korean Mathematical Society.

Geometry of a semi-symmetric recurrent metric connection

Jaeman Kim

Kangwon National University

Abstract

In the present paper, we study a semi-symmetric recurrent metric connection and verify its various geometric properties.

Keywords: Semi-symmetric recurrent metric connection, curvature symmetries, closed 1-form, first Bianchi identity, constant curvature, Einstein, sectional curvature, generalized Schur's theorem, weakly symmetric manifold, semisymmetry, Ricci-semisymmetry

MSC numbers: Primary 53A55, 53B20