Self-Dual Manifolds with Positive Ricci Curvature
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We prove that the connected sums CP_2 # CP_2 and CP_2 # CP_2 # CP_2 admit self-dual metrics with positive Ricci curvature. Moreover, every self-dual metric of positive scalar curvature on CP_2 # CP_2 is conformal to a metric with positive Ricci curvature.
Keywords
Cite
@article{arxiv.dg-ga/9411001,
title = {Self-Dual Manifolds with Positive Ricci Curvature},
author = {Claude LeBrun and Shin Nayatani and Takashi Nitta},
journal= {arXiv preprint arXiv:dg-ga/9411001},
year = {2008}
}
Comments
17 pages, LaTeX