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Geometry Colloquium: Palais–Smale sequences for the prescribed Ricci curvature functional(Artem Pulemotov)
2023年10月6日 開催
Time: 16:30 – 18:00
Place:理学部3号館3-204
Speaker:Artem Pulemotov氏(School of Mathematics and Physics, The University of Queensland, 准教授)
Title: Palais–Smale sequences for the prescribed Ricci curvature functional
Abstract:On homogeneous spaces, solutions to the prescribed Ricci curvature equation coincide with the critical points of the scalar curvature functional subject to a constraint. We provide a complete description of Palais–Smale sequences for this functional. As an application, we obtain a new existence result for the prescribed Ricci curvature equation, which enables us to observe previously unseen phenomena.