Department of Mathematics,
University of California San Diego
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Math 258: Differential Geometry Seminar
Professor Fang Wang
Shanghai Jiao Tong University
Poincare Einstein Manifolds and Fractional GJMS Operators
Abstract:
The fractional GJMS operators form a one-parameter family of conformally invariant operators defined on the conformal infinity of a Poincare-Einstein manifold. We mainly focus on operators of order between 0 and 2. First, I will show that the associated fractional Yamabe constants provide lower bounds for the relative volume of geodesic balls in the interior. Then, I will present some monotonicity properties for this family of fractional Yamabe constants. Finally, I will introduce some recent progress on the positive mass theorem for these fractional GJMS operators. This is joint work with Huihuang Zhou.
Host: Ruobing Zhang
February 12, 2026
11:00 AM
APM 5829
Research Areas
Geometric Analysis****************************
