An integral inequality for constant scalar curvature metrics on Kahler manifolds

作者：Li, Ping^*

来源：Advances in Mathematics, 2016, 287: 774-787.

DOI：10.1016/j.aim.2015.10.012

• Constant scalar curvature metric
• Bochner-Kahler metric
• Chern number inequality

We present in this note a lower bound for the Calabi functional in a given Kghler class. This yields an integral inequality for constant scalar curvature metrics, which can be viewed as a refinement of S.-T. Yau's Chern number inequality from the Einstein metric case to constant scalar curvature metric case.

• 出版日期2016-1-10
• 单位同济大学