Mathematical Sciences: Geometric Evolution Equations

9401106 Ye本论文的研究范围主要围绕几何演化方程类展开。所讨论的方程描述了与Ricci曲率、Yang-Mills梯度和调和映射相关的流系统的某些类型。它还打算在某些情况下概述流形上爱因斯坦度量的构造。该研究对数学物理中的规范理论和广义相对论有潜在的应用价值。***

9401106 Ye The scope of the research centers around the study of classes of geometric evolution equations. The equations in question characterize flow systems relating to Ricci curvature, Yang-Mills gradient and harmonic maps as some of the types. It is also intended to outline constructions of Einstein metrics on manifolds in certain cases. The research may have potential applications to gauge theory and general relativity theory in mathematical physics. ***