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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 YilmazUDUday Chand DeAGAydin Gezer

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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Cite This Study

Yilmaz et al. (2026) studied this question.

synapsesocial.com/papers/69fc2c4b8b49bacb8b347d3fhttps://doi.org/10.1140/epjc/s10052-026-15639-7
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