Generalized warped product manifolds and critical Riemannian metric

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Djaa Nour El Houda¹  Djaa Mustapha¹ 

[1] University of Relizane

关键词: critical metric;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

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 $Mimes_{f} N$ of Riemannian manifolds and those ones of $M$ an $ N$, and we obtain a necessary condition for a critical Riemannian metrics on $Mimes_{f} N$.

【 授权许可】

Unknown