Some remarks on Bach-flat manifolds with positive constant scalar curvature
Volume 155 / 2019
Colloquium Mathematicum 155 (2019), 187-196
MSC: Primary 53C20; Secondary 53C21.
DOI: 10.4064/cm7358-2-2018
Published online: 9 November 2018
Abstract
We give some rigidity results for Bach-flat manifolds with positive constant scalar curvature under pointwise or integral pinching conditions which have the additional property of being sharp.