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带一个反凸约束的凹规化的面分解法
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作者 孙艳丰 《黑龙江大学自然科学学报》 CAS 1990年第4期16-20,共5页
本文给出一个求解一类凹规划的算法,与其它算法相比,该算法具有较好的可执行性。文中证明了它的全局收敛性。
关键词 凹规划 反凸约束 n-维面 极点
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Some pinching theorems for minimal submanifolds in S^m(1)×R 被引量:7
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作者 CHEN Hang CHEN GangYi LI HaiZhong 《Science China Mathematics》 SCIE 2013年第8期1679-1688,共10页
Let Mn be an n-dimensional compact minimal submanifolds in Sin(1)× R. We prove two pinching theorems by the Ricci curvature and the sectional curvature pinching conditions respectively. In fact, we characterize... Let Mn be an n-dimensional compact minimal submanifolds in Sin(1)× R. We prove two pinching theorems by the Ricci curvature and the sectional curvature pinching conditions respectively. In fact, we characterize the Clifford tori and Veronese submanifolds by our pinching conditions respectively. 展开更多
关键词 minimal submanifolds pinching theorems Ricci curvature sectional curvature
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Orientable Small Covers over a Product Space
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作者 Danting WANG Yanying WANG Yanhong DING 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第3期331-356,共26页
A small cover is a closed manifold M^n with a locally standard (Z2)^n-action such that its orbit space is a simple convex polytope P^n. Let A^n denote an n-simplex and P(m) an m-gon. This paper gives formulas for ... A small cover is a closed manifold M^n with a locally standard (Z2)^n-action such that its orbit space is a simple convex polytope P^n. Let A^n denote an n-simplex and P(m) an m-gon. This paper gives formulas for calculating the number of D-J equivalent classes and equivariant homeomorphism classes of orientable small covers over the product space △^n1 × △^n2 × P(m), where n1 is odd. 展开更多
关键词 (Z2)^n-Action Small cover Equivariant homeomorphism POLYTOPE
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