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Existence Results of Canonical Metrics on Four-Manifolds

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A Perspective on Canonical Riemannian Metrics

Part of the book series: Progress in Mathematics ((PM,volume 336))

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Abstract

In this chapter, following the recent work [56], we study the existence of minimizers in a conformal class for the quadratic functional \(\mathfrak{D}\)(g) given by the (rescaled) L2 - norm of the divergence of the Weyl tensor.

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Catino, G., Mastrolia, P. (2020). Existence Results of Canonical Metrics on Four-Manifolds. In: A Perspective on Canonical Riemannian Metrics. Progress in Mathematics, vol 336. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-57185-6_8

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