Speaker: Jingchen Hu (AMSS-CAS)
Time: 14:00-15:00, May 26, 2023
Room: Tencent Meeting ID: 641 942 705, no password
With the metric introduced by Mabuchi-Semmes-Donaldson the space of Kahler potentials becomes an infinite dimensional Riemannian metric; and we know, based on many works, any two potentials can be connected by a $C^{1,1}$ geodesic. However, along the geodeisc metrics may degenerate. An interesting question to ask is that can we find some conditions for two potentials, so that when these conditions are satisfied, along the geodesic connecting two potentials metrics do not degenerate? In this talk, some results of the author would be presented, which provide partial answers to this question.
