Warped-twisted products and Einstein-like manifolds
Novi Sad Journal of Mathematics, vol.53, no.2, pp.101-119, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 53 Issue: 2
- Publication Date: 2023
- Doi Number: 10.30755/nsjom.12381
- Journal Name: Novi Sad Journal of Mathematics
- Journal Indexes: Scopus, zbMATH
- Page Numbers: pp.101-119
- Keywords: Codazzi Ricci tensor, Einstein-like manifold, killing Ricci tensor, twisted product man-ifold, warped product manifold, Weyl conformal flat manifold
- Istanbul University Affiliated: Yes
Abstract
We study warped-twisted product manifolds in the form f2 M1 ×f1 M2 with warping function f2 on M2 and twisting function f1. We give a necessary and sufficient condition for a warped-twisted product to be a doubly warped product. We also give some conditions for such manifolds to be a twisted and a base conformal warped product. Moreover, we give some results for Einstein-like warped-twisted product manifolds of different classes.