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

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.