Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

G. Catino

Metrics of constant negative scalar-Weyl curvature

created by catino on 19 Jan 2021

[BibTeX]

Preprint

Inserted: 19 jan 2021
Last Updated: 19 jan 2021

Year: 2021

Abstract:

Extending Aubin's construction of metrics with constant negative scalar curvature, we prove that every $n$-dimensional closed manifold admits a Riemannian metric with constant negative scalar-Weyl curvature, that is $R+t
W
, t\in\mathbb{R}$. In particular, there are no topological obstructions for metrics with $\varepsilon$-pinched Weyl curvature and negative scalar curvature.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1