Mathematical Sciences: Partial Differential Equations and Several Complex Variables

9301345 Stanton该研究涉及有关复杂欧几里得空间中的真实的超曲面的几何和分析问题。 技术涉及热核方法和渐近分析类似于椭圆边值问题。 关于这些超曲面的刚性问题也将被考虑。 这样的研究可能对数学物理的分支，特别是广义相对论有重要的应用。

9301345 Stanton The research entails questions of geometry and analysis concerning real hypersufaces in complex euclidean spaces. Techniques involve heat kernel methods and asymptotic analysis analogous to those employed in elliptic boundary value problems. Problems concerning the rigidity of these hypersurfaces will also be considered. Such research has possible significant applications to branches of mathematical physics, particularly general relativity theory.