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A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. (English) Zbl 1317.53062
This paper gives a classification of nonnegatively curved, simply connected, 4-manifolds with a circle isometry group up to equivariant diffeomorphisms.

##### MSC:
 53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 57M25 Knots and links in the $$3$$-sphere (MSC2010) 57M60 Group actions on manifolds and cell complexes in low dimensions
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