... 拓扑完备空间 topologically complete space 拓扑微分几何（学） topological differential geometry 拓扑维数 topological dimension ...
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子流形高斯像的几何与拓扑是整体微分几何领域的重要研究课题之一。
It plays an important role in global differential geometry to study the geometric and topological properties of Gaussian image of submanifolds.
建议事先知道一些关于代数拓扑和微分几何的基本知识，但不是必需的。
Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.
从事微分几何，复几何，几何分析方面的研究，主要为几何热流及其在几何拓扑中的应用。
My main research interests are differential geometry, complex geometry, and geometric analysis, the speciality is the geometric heat flows and its applications in geometry and topology.
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