Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Invariant metrics of positive Ricci curvature on principal bundles

Invariant metrics of positive Ricci curvature on principal bundles Let $Y$ be a compact connected Riemannian manifold with a metric of positive Ricci curvature. Let $\pi:P\rightarrow Y$ be a principal bundle over $Y$ with compact connected structure group $G$ . If the fundamental group of $P$ is finite, we show that $P$ admits a $G$ invariant metric with positive Ricci curvature so that $\pi$ is a Riemannian submersion. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Invariant metrics of positive Ricci curvature on principal bundles

Download PDF
9 pages

Loading next page...
 
/lp/springer-journals/invariant-metrics-of-positive-ricci-curvature-on-principal-bundles-TZP4In3B0x

References (14)

Publisher
Springer Journals
Copyright
Copyright © 1998 by Springer-Verlag Berlin Heidelberg
Subject
Legacy
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/PL00004385
Publisher site
See Article on Publisher Site

Abstract

Let $Y$ be a compact connected Riemannian manifold with a metric of positive Ricci curvature. Let $\pi:P\rightarrow Y$ be a principal bundle over $Y$ with compact connected structure group $G$ . If the fundamental group of $P$ is finite, we show that $P$ admits a $G$ invariant metric with positive Ricci curvature so that $\pi$ is a Riemannian submersion.

Journal

Mathematische Zeitschrift – Springer Journals

Published: Mar 1, 1998

There are no references for this article.