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20160905Introduction to Einstein Manifolds and the Ricci Flow
20160905Introduction to Einstein Manifolds and the Ricci Flow
教师介绍

本讲教师:叶如钢
所属学科:理科
人  气:1603

课程介绍
课程简介:In this course we'll present basic materials on Einstein manifolds and Ricci flow, including part of Hamilton's theory of the Ricci flow and part of Perelman's theory of the Ricci flow, such as the variational theory of Einstein metrics, obstruction to existence of Einstein metrics, short-time existence of the Ricci flow, 2-dimensional Ricci flow, 3-dimensional Ricci flow, blow-up singularities,the entropy functional, non-collapsing of the Ricci flow, the maximum principles and the Harnack inequalities. The theory of Einstein manifolds and the theory of the Ricci flow have had major advances in recent years, including Perelman's solution of the Poincare conjecture using the Ricci flow. This course is meant to provide foundational knowledge and skills for understanding more advanced work in these fields.
致谢:本课件的制作和发布均为公益目的,免费提供给公众学习和研究。对于本课件制作传播过程中可能涉及的作品或作品部分内容的著作权人以及相关权利人谨致谢意!
课件总访问人次:29186127
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