On the curvature on G-manifolds with finitely many non-principal orbits


Bechtluft-Sachs, S. and Wraith, David J. (2013) On the curvature on G-manifolds with finitely many non-principal orbits. Working Paper. UNSPECIFIED.

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Abstract

We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal orbits. We prove existence results for metrics of positive Ricci curvature, and discuss some families of examples to which these existence results apply. In fact, many of our examples also admit invariant metrics of non-negative sectional curvature.

Item Type: Monograph (Working Paper)
Keywords: G-manifold; cohomogeneity; Ricci curvature;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 6952
Depositing User: Dr. David Wraith
Date Deposited: 04 Feb 2016 12:01
URI:

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