Rigidity for Nonnegatively Curved Metrics on S × R
نویسنده
چکیده
We address the question: how large is the family of complete metrics with nonnegative sectional curvature on S2 × R3? 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.
منابع مشابه
Rigidity for Nonnegatively Curved Metrics
We address the question: how large is the family of complete metrics with nonnegative sectional curvature on S × R? 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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