»ã±¨±êÌâ (Title)£ºQuasi-local mass and geometry of scalar curvature£¨ÄⲿÃÅÖÊÁ¿ºÍÊýÁ¿ÇúÂʵļ¸ºÎ£©

»ã±¨ÈË (Speaker)£ºÊ·Óî¹â ½ÌÊÚ£¨±±¾©´óѧ£©

»ã±¨¹¦·ò (Time)£º2022Äê12ÔÂ2ÈÕ(ÖÜÎå) 10:00-11:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飨736-4167-6110£©

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­

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»ã±¨ÌáÒª£ºLet be an dimensional orientable Riemannian manifold, be a positive function on , Gromov¡¯s asked under what conditions is induced by a Riemannian metric with nonnegative scalar curvature, for example, defined on , and is the mean curvature of in with respect to the outward unit normal vector? By the recent result due to . Miao we know such cannot be too large, so the next natural question is what is ¡°optimal¡± so that such a fill-in for the triple exits? It turns out that the problem has deep relation with positive mass theorem, in this talk I will talk about some known results relate to this topic. My talk is based on my joint works with Dr. Wang Wenlong, Dr.Wei Guodong£¬Dr. Zhu Jintian, Dr.Liu Peng, Dr. Hu Yuhao.