发表机构
Xiamen University（厦门大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明了旋转支撑上极小毛细超曲面的刚性，构造反例说明条件必要性，并给出钝角情形下的分类。
AI 中文摘要
本文证明，在生成轮廓满足适当条件时，欧氏空间中一端旋转超曲面支撑的每个连通、紧致嵌入极小毛细超曲面均为水平切片。我们还构造了一个光滑的一端旋转支撑，其上承载非水平的平面毛细$n$-球，表明主斜率条件一般不能省略。对于钝接触角，我们在反向轮廓不等式下进一步获得悬链面带的分类。
英文摘要
In this paper, we prove that, under suitable conditions on the generating profile, every connected, compact embedded minimal capillary hypersurface supported on a one-ended rotational hypersurface in the Euclidean space is a horizontal slice. We also construct a smooth one-ended rotational support carrying a non-horizontal planar capillary $n$-ball, showing that the main slope condition cannot in general be omitted. For obtuse contact angles, we further obtain a catenoid-band classification under a reverse profile inequality.
