Mathematical Sciences: Geometric Variational Problems: Scalar Curvature and Harmonic Maps

该研究需要几何方法的部分 应用于变分原理的微分方程。 这 特别是涉及研究类调和映射从 n-球面到黎曼流形及其Dirichlet 积分的 群作用和标量曲率方程也是 打算被研究。 这项研究可能有潜力 应用于静态液晶的配置。

The research entails geometric methods of partial differential equations applied to variational principles. This in particular involves the study of classes of harmonic maps from the n-sphere to Riemannian manifolds and their Dirichlet integral. Group actions and scalar curvature equations are also intended to be studied. This research may have potential applications to configurations of static liquid crystals.