Abstract
In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in . Moreover, we provide a necessary and sufficient condition on the norm of the gradient of the potential function in order to classify such critical metrics.
Citation
H. Baltazar. C. Queiroz. "Critical metrics of the volume functional with pinched curvature." Illinois J. Math. 67 (4) 705 - 713, December 2023. https://doi.org/10.1215/00192082-10972626
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