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math.GT2008
Giroux correspondence, confoliations, and symplectic structures on S^1 x M
Jin Hong Kim
Let M be a closed oriented 3-manifold such that S^1 x M admits a symplectic structure w. The goal of this paper is to show that M is a fiber bundle over S^1. The basic idea is to u…
math.DG2008★ 4 cited
On positively curved 4-manifolds with S^1-symmetry
Jin Hong Kim
It is well-known by the work of Hsiang and Kleiner that every closed oriented positively curved 4-dimensional manifold with an effective isometric S^1-action is homeomorphic to S^4…