非正截面曲率空间中 F ⁃双调和子流形的若干结果

Some Results of F ⁃biharmonic Submanifolds in the Non⁃positive Sectional Curvature Space

摘要: 研究非正截面曲率空间中的 F ⁃双调和子流形,利用分部积分和积分估计方法,证明了如果它满足一些条件,那么它是极小的.

Abstract: F-biharmonic submanifolds in the non-positive sectional curvature space were investigated. By using the division of integral method and the integral estimation method, these submanifolds were proved to be minimal if they satisfied some conditions.