【摘要】 本文研究局部对称共形平坦空间中具有平坦法丛子流形,得到了一个关于第二基本形式长度平方的Pinching定理,使得子流形的余维数可由任意的p减少到1。在此基础上,我们还得到了若干重要的应用。更多还原

【Abstract】 This pote deais with the compact submanifolds with flat normal boundle in locally symmetric conformaily Hat spaces.a theorem on the square of the length of the second fundamental form such that the codimension of the submanifolds can be reduced from arbitrary p t’ 1 is obtained. Basing on this result,some important applications are given.更多还原