Complete Riemannian Manifold with Curvature Bounded from Below

摘要：

　　In this paper,we study a complete n-Riemannian manifold M whose curvature bounded from below.Let N be a compact totally geodesic submanifold of M.Then,for any m ∈ M,we can make use of the first variation formula and the second variation formula of distance to prove that d(m,N) is bounded.

关键词： sectional curvature minimal radial curvature Ricci curvature k th-Ricci curvature

作者: Xue Qiong Xiao Xiaofeng

作者单位: School of Science,Wuhan University of Technology,China School of Mechanical Engineering and Automation,Wuhan Textile University,China

会议类型: 国际会议

会议名称: 2012 International Applied Mechanics,Mechatronics Automation Symposium(2012应用力学,机电一体化自动化国际研讨会)(IAMMAS2012)

会议地点: 沈阳

会议语种:英文

页码: 1225-1229

在线出版日期: 2012-09-07（万方平台首次上网日期，不代表论文的发表时间）