Mathematical Sciences: Differential Geometry and Partial Differential Equations

小行星9504441 在调和映射及其应用和广义相对论的数学理论方面提出了几个方案。提出者最近研究了到非局部紧空间的调和映射，并发现了调和映射理论的新应用。舍恩也是众所周知的，他证明了与丘的积极质量猜想在广义相对论。 提出的问题之一是所谓的彭罗斯猜想，它与黑洞的时空质量有关，拟议的研究寻求这个猜想的严格数学解决方案。

9504441 Schoen Several projects in the area of harmonic mappings and their applications, and the mathematical theory of general relativity are proposed. The proposer has recently investigated harmonic maps into non-locally compact spaces and found new applications of harmonic mapping theory. Schoen is also well-known for his proof with Yau of the positive mass conjecture in general relativity. One of the proposed problems is the so called Penrose conjecture which has to do with the mass of a space-time with a black hole, and the proposed research seeks a rigorous mathematical resolution of this conjecture.