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20132025
most citedRemarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary

38 citations · 41 across the 9 of their papers we have counts for

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Showing 2017Show all

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math.DG2017

Volume functional of compact -manifolds with a prescribed boundary metric

H. Baltazar, R. Diógenes, E. Ribeiro

We prove that a critical metric of the volume functional on a -dimensional compact manifold with boundary satisfying a second-order vanishing condition on the Weyl tensor must b…

math.DG2017★ 38 cited

Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary

H. Baltazar, E. Ribeiro

We provide a general Böchner type formula which enables us to prove some rigidity results for -static spaces. In particular, we show that an -dimensional positive static trip…