Geodesic
Warped-twisted products and Einstein-like manifolds
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2.

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We study warped-twisted product manifolds in the form $ _{f_2} M_1 \times_{f_1} M_2$ with warping function $f_2$ on $M_2$ and twisting function $f_1$. 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.
Publié le :
DOI : 10.30755/NSJOM.12381
Classification : 53B20, 53C07, 53C25
Keywords: warped product manifold, twisted product manifold, Einstein-like manifold, Codazzi Ricci tensor, killing Ricci tensor, Weyl conformal flat manifold 
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     author = {Sibel Gerdan Ayd{\i}n and Hakan Mete Ta\c{c}tan},
     title = {Warped-twisted products and {Einstein-like} manifolds},
     journal = {Novi Sad Journal of Mathematics},
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     publisher = {mathdoc},
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Sibel Gerdan Aydın; Hakan Mete Taçtan. Warped-twisted products and Einstein-like manifolds. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2. doi : 10.30755/NSJOM.12381. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12381/

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