Rigidity for Nonnegatively Curved Metrics on S^2xR^3

Details Rigidity for Nonnegatively Curved Metrics on S^2xR^3 Rigidity for Nonnegatively Curved Metrics on S^2xR^3

2002-10-10

arxiv.org/abs/math/0210157v1

Mathematics

Differential Geometry

Scientific paper

We address the question: how large is the family of complete metrics with
nonnegative sectional curvature on S^2xR^3? We classify the connection metrics,
and give several examples of non-connection metrics. We provide evidence that
the family is small by proving some rigidity results for metrics more general
than connection metrics.

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