子流形是单浸入映射对应的流形间的关系。设M与N是两个微分流形，φ：M→N是C∞映射，若φ是单射，且φ是浸入，则称(M，φ)是N的子流形。或等价地定义为：M作为点集是N的子集，且从M到N的恒等映射是M到N中的嵌入，就称M为N的子流形。
研究量子统计中曲指数族子流形的不同度量的对偶结构。
Quantum version of the curved exponential family is studied where its dual structure with different metrics.
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
利用活动标架法研究共形几何中的子流形，构造新的极值子流形。
We use the method of moving frame to study submanifolds in conformal differential geometry, and construct new minimal submanifolds.
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