Work

Bach-pinched metrics on closed manifolds

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2505.13059

Authors: Branca, Letizia, Catino, Giovanni, Dameno, Davide

Institutions: University of Milan, Politecnico di Milano, University of Turin

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W4417286996

Cites:

Cited by:

Related to: