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

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

2011-07-25

arxiv.org/abs/1107.4907v1

Mathematics

Differential Geometry

21 pages

Scientific paper

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 non-negative sectional curvature, and discuss some
families of examples to which these existence results apply.

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