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Canonical Metrics II: Critical Metrics of Riemannian Functionals
2020In this chapter we introduce a second possible way to study canonical metrics on Riemannian manifolds, namely the one related to “Critical Metrics of Riemannian functionals” (CM, for short).
Giovanni Catino, Paolo Mastrolia
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Generalized warped product manifolds and critical Riemannian metric
2012Summary: We present some properties of generalized warped product manifold. We establish the relationship between the scalar curvature of a generalized warped product \(M\times_f N\) of Riemannian manifolds and those ones of \(M\) an \(N\), and we obtain a necessary condition for a Riemannian metric on \(M \times_f N\) to be critical.
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