A note on toric contact geometry
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Publication:5931237
DOI10.1016/S0393-0440(99)00078-9zbMATH Open0984.53032arXivmath/9907043MaRDI QIDQ5931237
Author name not available (Why is that?)
Publication date: 25 September 2001
Published in: (Search for Journal in Brave)
Abstract: After observing that the well-known convexity theorems of symplectic geometry also hold for compact contact manifolds with an effective action of a torus whose Reeb vector field corresponds to an element of the Lie algebra of the torus, we use this fact together with a recent symplectic orbifold version of Delzant's theorem due to Lerman and Tolman [LT] to show that every such compact toric contact manifold can be obtained by a contact reduction from an odd dimensional sphere.
Full work available at URL: https://arxiv.org/abs/math/9907043
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