Concircularly and Conharmonically Flat Warped-Twisted Product Manifolds with Applications

Year 2025, Volume: 3 Issue: 2, 66 - 77, 16.12.2025

Sibel Gerdan Aydın

https://doi.org/10.26650/ijmath.2025.00029

https://izlik.org/JA44FL78FA

Abstract

In this paper, we investigate warped-twisted product manifolds that are both concircularly flat and conharmonically flat. We examine the structure of their factor manifolds under these curvature conditions. Then we characterize the factor manifolds of a warped-twisted product manifold in terms of Ricci soliton and Yamabe soliton structures. Moreover, we introduce the notions of a warped-twisted generalized Robertson-Walker spacetime and a warped-twisted standard static spacetime. We also provide some applications for concircularly flat warped-twisted product manifolds that admit these spacetime metric structures. Finally, we prove that one of the factor manifolds of these spacetimes is gradient almost 𝜁-Yamabe soliton.

Keywords

Warped product , twisted product , concircularly flat manifold , conharmonically flat manifold , Ricci soliton , generalized Robertson−Walker spacetime

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