正曲率流形上积分流与调和映射的不稳定性  

On the Instability of Integral Currents and Harmonic Maps in Riemannian Manifolds of Positive Curvature

作　　者：欧阳成 

机构地区：[1]湖州师专数学系

出　　处：《湖州师专学报》1996年第6期1-5,共5页

摘　　要：就L-S猜想给出了部分回答(定理1);对文[2]定理结论中的pinching常数δ(n)作了全面修正(定理2).This paper gives a partial positive answer of L - S conjecture[1] , i. e.Theorem Let Mn be a simply connected compact hypersurface of Rn+1. If M is a 0. 763 -pinched riemannian manifold, then there are no stable currents on M.So we extend the result about the Euclidean Sphere Sn by Lawson and Simons. Then, we correct several mistakes of pinching constants δ( n)[2].

关 键 词：PINCHING常数 积分流 调和映射 正曲率流形 流形 

分 类 号：O186.1[理学—数学]