Some canonical metrics {\em via} Aubin's local deformations
Differential Geometry
2024-09-12 v2
Abstract
In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning the Weyl tensor, on every compact manifold. In particular, in dimension four, we show that there are no topological obstructions for the existence of metrics with non-vanishing Bach tensor.
Keywords
Cite
@article{arxiv.2206.11016,
title = {Some canonical metrics {\em via} Aubin's local deformations},
author = {Giovanni Catino and Davide Dameno and Paolo Mastrolia},
journal= {arXiv preprint arXiv:2206.11016},
year = {2024}
}