The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature
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Publication:282806
DOI10.1007/S12220-015-9583-9zbMATH Open1338.53068arXiv1402.2546OpenAlexW1997576491MaRDI QIDQ282806
Author name not available (Why is that?)
Publication date: 12 May 2016
Published in: (Search for Journal in Brave)
Abstract: We describe a general procedure for constructing new Sasaki metrics of constant scalar curvature from old ones. Explicitly, we begin with a regular Sasaki metric of constant scalar curvature on a 2n+1-dimensional compact manifold M and construct a sequence, depending on four integer parameters, of rays of constant scalar curvature (CSC) Sasaki metrics on a compact Sasaki manifold of dimension . We also give examples which show that the CSC rays are often not unique on a fixed strictly pseudoconvex CR manifold or a fixed contact manifold. Moreover, it is shown that when the first Chern class of the contact bundle vanishes, there is a two dimensional subcone of Sasaki Ricci solitons in the Sasaki cone, and a unique Sasaki-Einstein metric in each of the two dimensional sub cones.
Full work available at URL: https://arxiv.org/abs/1402.2546
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