The Generalized Frankel Conjecture in Sasaki Geometry
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Publication:5174201
DOI10.1093/IMRN/RNT185zbMATH Open1315.53044arXiv1209.4026OpenAlexW2119525210WikidataQ122860529 ScholiaQ122860529MaRDI QIDQ5174201
Author name not available (Why is that?)
Publication date: 17 February 2015
Published in: (Search for Journal in Brave)
Abstract: We prove some structure results for emph{transverse reducible} Sasaki manifolds. In particular, we show Sasaki manifolds with positive Ricci curvature is transversely irreducible, and so there is no join (product) construction for irregular Sasaki-Einstein manifolds, as opposed to the quasi-regular case done by Wang-Ziller and Boyer-Galicki. As an application, we classify compact Sasaki manifolds with non-negative transverse bisectional curvature, which can be viewed as the generalized Frankel conjecture (N. Mok's theorem) in Sasaki geometry.
Full work available at URL: https://arxiv.org/abs/1209.4026
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