Conditions for nonnegative curvature on vector bundles and sphere bundles
نویسندگان
چکیده
منابع مشابه
Conditions for Nonnegative Curvature on Vector Bundles and Sphere Bundles
This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a complete metric of nonnegative curvature, and relates their question to the issue of which sphere bundles admit a metric of positive curvature. We show that any vector bundle which admits a metric of nonnegative curvature must admit a connection, a tensor, and a metric on the base space which together satisfy a ...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2003
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-03-11613-0