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arXiv · 2505.13059

Bach-pinched metrics on closed manifolds

Letizia Branca·Giovanni Catino·Davide Dameno
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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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Letizia Branca, Giovanni Catino, Davide Dameno. 2025-05-19. Bach-pinched metrics on closed manifolds. https://arxiv.org/abs/2505.13059

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