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Prescribed scalar curvatures for homogeneous toric bundles
Institution:1. Department of Mathematics, Sichuan University, Chengdu, 610064, China;2. Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA;3. Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, China;4. Department of Mathematics, Southwest Jiaotong University, Chengdu, 611756, China
Abstract:In this paper, we study the generalized Abreu equation on a Delzant ploytope ΔR2 and prove the existence of metrics with prescribed scalar curvatures of homogeneous toric bundles under the assumption of an appropriate stability.
Keywords:Homogeneous toric bundle  Generalized Abreu equation  Prescribed scalar curvature
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