What question did this study set out to answer?

This research aims to examine the properties of warped product manifolds and their associated semi-symmetric recurrent metric connections.

May 7, 2026The European Physical Journal C0 citationsOpen Access

Characterizations of a warped product manifold admitting semi-symmetric recurrent metric connection with applications

HYHülya Bağdatli Yilmaz UDUday Chand DeUniversity of Calcutta AGAydin GezerAtatürk University

Key Points

This research aims to examine the properties of warped product manifolds and their associated semi-symmetric recurrent metric connections.
Explored the geometric properties of warped product manifolds.
Characterized the generalized Robertson-Walker spacetime within this framework.
Analyzed implications of semi-symmetric recurrent metric connections.
Identified unique geometric features of warped product manifolds.
Established how these features relate to generalized Robertson-Walker spacetimes.
Demonstrated the relevance of semi-symmetric recurrent metric connections in this context.

Abstract

Abstract This research focuses on warped product manifolds equipped with a semi-symmetric recurrent metric connection. It explores the geometric properties and implications of these warped product manifolds. Furthermore, as an application of such a manifold, it characterizes the generalized Robertson-Walker spacetime with a semi-symmetric recurrent metric connection.

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