Some canonical metrics {\em via} Aubin's local deformations

Autor:	Catino, Giovanni, Dameno, Davide, Mastrolia, Paolo
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.11016 Zobrazit plný text záznamu View this record from Arxiv