Constant scalar curvature Sasaki metrics and projective bundles

DOI10.1007/978-3-031-17859-7_5arXiv2112.01567MaRDI QIDQ6124064

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Publication date: 9 April 2024

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Abstract: In this paper we consider the Boothby-Wang construction over twist 1 stage 3 Bott orbifolds given in terms of the log pair $$. We give explicit constant scalar curvature (CSC) Sasaki metrics either directly from CSC K"ahler orbifold metrics or by using the weighted extremal approach of Apostolov and Calderbank. The Sasaki 7-manifolds (orbifolds) are finitely covered by compact simply connected manifolds (orbifolds) with the rational homology of the 2-fold connected sum of $S^{2}imes{S}^5$.

Full work available at URL: https://arxiv.org/abs/2112.01567

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