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| 1 | A Rigidity Phenomenon on Riemannian Manifolds with Reverse Excess Pinching显示文摘The authors introduce the Hausdorff convergence to discuss the differentiable sphere theorem with excess pinching. Finally, a type of rigidity phenomenon on Riemannian manifolds is derived. | Peihe WANG Chunli SHEN | 2009 | Chinese Annals of Mathematics,Series B2009，30，1： | 3 |
| 2 | 注射器针头合格性图像检测方法显示文摘针对一次性注射器针头生产过程中,会产生倒装和弯钩等次品问题,结合次品针头特征,提出一种注射器针头合格性图像检测方法。首先,对针头图像进行一系列预处理,获取针尖的边缘轮廓;其次,利用边界区域不变矩法,建立合格针头在各角度下针尖轮廓特征库,提取被测针尖轮廓特征,并与特征库进行匹配,实现针头的倒装检测;最后,在针尖局部坐标系下,采用最小二乘法拟合针尖左右边缘曲线,通过计算两边缘曲线的最大曲率,实现针头的弯钩检测。通过合格和不合格针头的检测实验,结果表明本方法对不合格针头具有较高的检测率,对合格针头具有较低的误判率,且有较高的鲁棒性,可应用于实际生产中。 | 熊邦书 余亮 欧巧凤 杜静 | 2010 | 中国生物医学工程学报2010，29，4： | 3 |
| 3 | Curvature Estimates for Minimal Submanifolds of Higher Codimension显示文摘The authors derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau’s results and Ecker-Huisken’s results are generalized to higher codimension. In this way, Hildebrandt-Jost-Widman’s result for the Bernstein type theorem is improved. | Yuanlong XIN Ling YANG | 2009 | Chinese Annals of Mathematics,Series B2009，30，4： | 3 |
| 4 | The Inverse Mean Curvature Flow in Rotationally Symmetric Spaces显示文摘In this paper,the motion of inverse mean curvature flow which starts from a closed star-sharped hypersurface in special rotationally symmetric spaces is studied.It is proved that the flow converges to a unique geodesic sphere,i.e.,every principle curvature of the hypersurfaces converges to a same constant under the flow. | Qi DING | 2011 | Chinese Annals of Mathematics,Series B2011，32，1： | 2 |
| 5 | Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space显示文摘The author establishes the long-time existence and convergence results of the mean curvature flow of entire Lagrangian graphs in the pseudo-Euclidean space,which is related to the logarithmic Monge-Ampere flow. | Rongli HUANG | 2011 | Chinese Annals of Mathematics,Series B2011，32，2： | 1 |
| 6 | 极小子流形刚性的若干结果显示文摘利用欧氏空间子流形上的Bochner公式,结合极小子流形上存在的L^2-Sobolev不等式,将Ni Lei的具有上界'total scalar curvature'的极小超曲面的刚性定理的结果推广到极小子流形的情形,并得到了关于极小子流形的一个曲率估计。 | 刘华侨 | 2009 | 数学年刊(A辑)2009，30，3： | 1 |
| 7 | Mean Curvature Flow via Convex Functions on Grassmannian Manifolds显示文摘Using the convex functions on Grassmannian manifolds, the authors obtain the interior estimates for the mean curvature flow of higher codimension. Confinable properties of Gauss images under the mean curvature flow have been obtained, which reveal that if the Gauss image of the initial submanifold is contained in a certain sublevel set of the v-function, then all the Gauss images of the submanifolds under the mean curvature flow are also contained in the same sublevel set of the v-function. Under such restrictions, curvature estimates in terms of v-function composed with the Gauss map can be carried out. | Yuanlong XIN Ling YANG | 2010 | Chinese Annals of Mathematics,Series B2010，31，3： | 0 |
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