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Connecting toric manifolds by conical Kahler-Einstein metrics

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arxiv 1308.6781 v1 pith:4UHIEG6O submitted 2013-08-30 math.DG

Ved Datar , Bin Guo , Jian Song , Xiaowei Wang This is my paper · ORCID
classification math.DG
keywords toricconicalkahler-einsteinmanifoldsmetricsbakry-emery-ricciboundconnecting
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We give criterions for the existence of toric conical Kahler-Einstein and Kahler-Ricci soliton metrics on any toric manifold in relation to the greatest Ricci and Bakry-Emery-Ricci lower bound. We also show that any two toric manifolds with the same dimension can be joined by a continuous path of toric manifolds with conical Kahler-Einstein metrics in the Gromov-Hausdorff topology.

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