Published Paper

Inserted: 14 mar 2023
Last Updated: 19 mar 2026

Journal: J. Math. Pures Appl.
Volume: 211
Pages: 103883
Year: 2026

Abstract:

In this paper we prove a new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functional $\mathfrak{S}^2 = \int R_g^{2} dV_g$: we show that critical metrics $(M^n, g)$ with finite energy are always scalar flat, i.e. global minima, provided $n\geq 10$.

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