Eigenvalue Estimates for Complete Submanifolds in the Hyperbolic Spaces

• 作 者: Haiping FU Yongqian TAO
• 机 构: DepartmentofMathematics
• 出 处: 数学研究及应用：英文版
• 发表日期: 2013年5期
• 关键词: 完备子流形 双曲空间 特征值估计 平行平均曲率向量 第一特征值 第二基本形式 超曲面 NP finite L^q norm curvature first ei
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 11261038）, the Natural Science Foundation of Jiangxi Province （Grant Nos. 2010GZS0149, 20132BAB201005） and Youth Science Founda

In this paper,we study upper bounds of the first eigenvalue of a complete noncompact submanifold in an(n + p)-dimensional hyperbolic space Hn+p.In particular,we prove that the first eigenvalue of a complete submanifold in Hn+pwith parallel mean curvature