Obstruction to prescribed positive Ricci curvature

Philippe Delanoë

Vol. 148 (1991), No. 1, 11–15

DOI: 10.2140/pjm.1991.148.11

Abstract

Obstruction to positive curvature is a phenomenon currently explored in global Riemannian geometry; the strongest results bear of course on the scalar curvature. Hereafter we consider the Ricci curvature and we adapt DeTurck and Koiso’s device to non-compact manifolds. We also record a simple non-existence result on Kähler manifolds.

Mathematical Subject Classification 2000

Primary: 53C21

Secondary: 53C55

Milestones

Received: 28 June 1989

Revised: 31 October 1989

Published: 1 March 1991