Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals

Autor:	Ma, Bingqing, Huang, Guangyue, Yang, Jie
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We study rigidity results for the Einstein metrics as the critical points of a family of known quadratic curvature functionals involving the scalar curvature, the Ricci curvature and the Riemannian curvature tensor, characterized by some pointwise inequalities involving the Weyl curvature and the traceless Ricci curvature. Moreover, we also provide a few rigidity results for locally conformally flat critical metrics. Comment: All comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.04644 Zobrazit plný text záznamu View this record from Arxiv