Rigidity for Nonnegatively Curved Metrics on S2\011× R3
نویسندگان
چکیده
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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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.
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2004
ISSN: 0232-704X
DOI: 10.1023/b:agag.0000011731.46087.10