报告题目： Rigidity of Einstein metrics as critical points of quadratic curvature functionals on manifolds

报告人：黄广月 教授

报告时间：2019年8月12日8:30—10:30

报告地点：3044am永利集团欢迎您学术报告厅

摘要：In this talk, we will introduce some recent results for the Einstein metrics as the critical points of a family of known quadratic curvature functionals on closed manifolds. Moreover, we also provide some rigidity results for such metrics characterized by some inequalities involving the Weyl curvature, the trace-less Ricci curvature, accordingly. On the other hand, for closed manifolds with special geometrical structures (for example, manifolds with Bach-flat metric, or with harmonic Riemannian curvature tensor), some rigidity results are also proved.

专家简介：黄广月，男，河南师范大学数学与信息科学学院教授，硕士生导师、河南省教育厅学术技术带头人、河南省高等学校青年骨干教师。武汉大学获得博士学位、清华大学数学科学系从事博士后研究工作。主要从事整体微分几何理论的研究, 在Calc. Var. PDE， Ann. Glob. Anal. Geom., J. Geom. Anal., Proc. Amer. Math. Soc., Pacific J. Math.等期刊发表SCI期刊论文40多篇。主持完成国家自然科学基金：青年基金、青年-面上连续项目各1项，完成第四十八批中国博士后科学基金（面上资助）1项。

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2019年8月10日