Killing Vector Fields on Multiply Warped Products with a Semi-symmetric Metric Connection

TL;DR

This paper introduces the concept of semi-symmetric metric Killing vector fields and investigates their properties on warped and multiply warped product manifolds with semi-symmetric metric connections, also examining classical Killing fields.

Contribution

It defines semi-symmetric metric Killing vector fields and explores their behavior on multiply warped products, extending the understanding of symmetries in such geometric structures.

Findings

Characterization of semi-symmetric metric Killing vector fields

Conditions for Killing and 2-Killing vector fields on multiply warped products

Extension of classical Killing vector field theory to semi-symmetric metric connections

Abstract

In this paper, we define a semi-symmetric metric Killing vector field, then study semi-symmetric metric Killing vector fields on warped and multiply warped products with a semi-symmetric metric connection. We also study Killing and 2-Killing vector fields on multiply warped products.