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2020年学术报告(六)


讲座题目:Pinching Theorems for Minimal Submanifolds in a Hyperbolic Space 

主办单位:大壕娱乐

报告专家:夏昌玉(巴西利亚大学,教授)

报告时间:202010231600-17:30(星期五)

报告地点: 长江大学东校区8教406

专家简介:夏昌玉,湖北监利人,1962年出生,巴西利亚大学数学系终身教授,博士生导师,国际知名几何学家,湖北大学“楚天学者”讲座教授(2010-2015),巴西国家科学与技术发展委员会一级研究员(2002-至今),主持6项巴西国家基金,在American J. Math., Math. Ann., Commun. Math. Phys., Calc.Var. PDEs, Trans. Amer. Math. Soc., J. Funct. Anal., Compositio Math.,Commun. PDEs, Math. Z.等国际顶尖数学期刊上发表论文90余篇

摘要:Minimal submanifolds have been widely studied. Many interesting pinching theorems for minimal submanifolds in a sphere or a Euclidean space have been proven. However, similar results for minimal submanifolds in a hyperbolic space are yet to be found. We prove for the first time gap theorems on the square norm of the second fundamental form of complete minimal submanifolds in a hyperbolic space. We also obtain one end theorem for them.