頁籤選單縮合
題名 | Submanifolds of Constant Scalar Curvature in a Hyperbolic Space form= |
---|---|
作者 | 侯中華; Hou, Zhong Hua; |
期刊 | Taiwanese Journal of Mathematics |
出版日期 | 19990300 |
卷期 | 3:1 1999.03[民88.03] |
頁次 | 頁55-72 |
分類號 | 316 |
語文 | eng |
關鍵詞 | Normalized mean curvature vector field; Normalized scalar curvature; |
英文摘要 | Let M□ be a closed submanifold immersed into a real hyperbolic space form H□ of constant curvature -1. Denote by R the normalized scalar curvature of M□ and by H the mean curvature of M□. Suppose that R is constant and bigger than or equal to -1. We first extend Cheng-Yau's technique to higher codimensional cases. Then, for M□ with parallel normalized mean curvature vector field, we show that, if H satisfies a certain inequality, then M□ is totally umbilical or the equality part holds. We describe all M□ whose H satisfies this equality. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。