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Generalized warped product manifolds and critical Riemannian metric

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
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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