El Houda, Djaa Nour and Mustapha, Djaa (2012) Generalized warped product manifolds and critical Riemannian metric. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 28 (2). pp. 197-206. ISSN 0866-0174
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Abstract
In this paper, we present some properties of generalized warped product manifold. We establish the relationship between the scalar curvature of a generalized warped product M ×f N of Riemannian manifolds and those ones of M an N, and we obtain a necessary condition for a critical Riemannian metrics on M ×f N.
Item Type: | Article |
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Uncontrolled Keywords: | warped product manifolds, scalar curvature, critical metric |
Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | Zsolt Baráth |
Date Deposited: | 05 Feb 2024 08:10 |
Last Modified: | 05 Feb 2024 08:10 |
URI: | http://real.mtak.hu/id/eprint/187558 |
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