Riv. Mat. Univ. Parma, Vol. 12, No. 2, 2021
Hakan Mete Taştan [a]
and
Sibel Gerdan Aydin [a]
Some results on warped and twisted products
Pages: 239-244
Received: 28 August 2020
Accepted in revised form: 23 February 2021
Mathematics Subject Classification: 53C05, 53C25, 53C50.
Keywords: Warped product, twisted product, pseudo-Riemannian manifold, Lie derivative.
Authors address:
[a]: Istanbul University, Department of Mathematics, Vezneciler, Istanbul, 34134, TURKEY
Full Text (PDF)
This work is supported by 1001-Scientific and
Technological Research Projects Funding Program of The Scientific and
Technological Research Council of Turkey (TUBITAK) project number 119F179.
Abstract:
We give a result for a pseudo-Riemannian manifold to be a warped product.
We obtain a necessary and sufficient condition for a twisted product to be a warped product.
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