Rigidity for Nonnegatively Curved Metrics on S²xR³
classification
🧮 math.DG
keywords
metricsconnectionfamilyrigidityaddressclassifycompletecurvature
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.