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题  目:Applications of Brown York mass on Besse’s conjecture and related topics




摘  要: In Arthur L. Besse’s book “Einstein manifolds”, one of interesting problems therein is about Hilbert-Einstein functional. It was conjectured that the critical points of Hilbert-Einstein functional with unit volume and constant scalar curvature have to be Einstein. This is usually referred to be Besse’s conjecture. It still remains open today. In this talk, we will show a connection between Besse’s conjecture and positive mass theorem for Brown-York mass. This provides us a further understanding of this conjecture. We will also discuss some closely related topics. This talk is based on a joint work with Wei Yuan.


时  间:2018年11月13日 10:00-12:00


地  点:蒙民伟楼1105室


邀请人:陈学长 老师