Calculus of Variations and Geometric Measure Theory

L. Branca - G. Catino - D. Dameno

Bach-pinched metrics on closed manifolds

created by catino on 19 May 2025

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Submitted Paper

Inserted: 19 may 2025
Last Updated: 19 may 2025

Year: 2025

Abstract:

Exploiting the deformation method introduced by Aubin in his seminal work to construct constant negative scalar curvature metrics, we show the existence, on every closed manifold of dimension four, of a metric whose Bach tensor is pinched by the scalar curvature.


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