Abstract
We prove the existence of complete conformally flat metrics of constant positive scalar curvature on the complement in ${\mathbb S}^n$ of a finite number of $(n-2)/2$-dimensional smooth submanifolds, provided $n \geq 4$ is even.
Citation
Frank Pacard. "The Yamabe problem on subdomains of even-dimensional spheres." Topol. Methods Nonlinear Anal. 6 (1) 137 - 150, 1995.
Information
Published: 1995
First available in Project Euclid: 16 November 2016
zbMATH: 0854.53037
MathSciNet: MR1391949
Rights: Copyright © 1995 Juliusz P. Schauder Centre for Nonlinear Studies