题  目：Construction of vacuum initial data of the Einstein field equations-an introduction to conformal methods

内容简介：The geometric (physical) initial data is referred to as a triple (M,g,K) where (M,g) is a Riemannian 3-fold and K is a symmetric 2-tensor. They cannot be chosen freely; they must satisfy the constraints. Finding and studying solutions of the constraints are notoriously difficult. In this talk, we give a brief introduction to the standard conformal method, initiated by Lichnerowicz, and extended by Choquet-Bruhat and York. There is another way to construct vacuum initial data, referred to as ‘the conformally covariant split' or, historically, ‘Method B.' Amazingly, much less is mathematically known for this method. Joint with P.Mach and Y.Wang, we prove existence of solutions of the conformally covariant split system giving rise to non-constant mean curvature vacuum initial data for the Einstein field equations.

报告人：复旦大学  谢纳庆  教授

时  间：2019年4月30日（周二）下午3：00始

地  点：南海楼330室

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信息科学技术学院

2019年4月22日