题目:A Note on Convex Hypersurfaces with Singularities
报告人:来米加 (上海交通大学 探花视频
)
地点:致远楼102室
时间:2017年6月2日 PM 2:40-3:40
Abstract: We study singular closed convex hypersurfaces with constant Weingarten curvature. The main result is two-folded: if the hypersurface with pointed singularities having $H_k=const$ for $1/leq k/leq n-1$ , then singularities are removable; while for k=n, there do exist singular convex hypersurfaces with constant Gaussian curvature, but if there are only two singular points, then the hypersurface must be a rotational symmetric football. This is a joint work with H. Fang and W. Wo.
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