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学术报告

On CR Volume Doubling Property, Sobolev Inequality and Cheeger-Gromov Compactness of Pseudo-Einstein Manifolds - 张树城教授(国立台湾大学)

题目:On CR Volume Doubling Property, Sobolev Inequality and Cheeger-Gromov Compactness of Pseudo-Einstein Manifolds

报告人: 张树城教授(国立台湾大学)

Abstract: In this talk, we first derive the basic properties such as CR volume doubling property and Sobolev inequality and then we obtain the CR analogue of Gromov precompactness theorem. Secondly, with its applications, we have Cheeger-Gromov compactness theorem for the space of normalized compact pseudo-Einstein manifolds with pseudohermitian curvature integral bounds. Moreover, we have the smooth compactness on the space of normalized compact Sasakian-Einstein manifolds. Parts of talk is based on jointed works with Y. Dong and Y.-B. Ren, also D.-C. Chang, Y. Han and J. Tie.

时间:2017年6月30日(周五) 4:00-5:00

地点:首师大新教二楼  527 教室

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