The Harmonic Functions on a Complete Asymptotic Flat Riemannian Manifold

• 作者: Huashui Zhan
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: HARMONIC Function RIEMANNIAN MANIFOLD Negative Sectional CURVATURE
• 年，卷（期）: 2011,（2）
• 页码范围: 5-8
• 页数: 4页
• 分类号: O1

摘要

Let be a simply connected complete Riemannian manifold with dimension n≥3 . Suppose that the sectional curvature satisfies , where p is distance function from a base point of M, a, b are constants and . Then there exist harmonic functions on M .