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| Quasi—conformally Flat Manifolds with Constant Scalar Curvature | |
| 引用本文： | 宋鸿藻,吴报强,等. Quasi—conformally Flat Manifolds with Constant Scalar Curvature[J]. 数学季刊, 1998, 13(4): 1-6 |
| 作者姓名： | 宋鸿藻 吴报强 等 |
| 作者单位： | Song Hongzao (Henan University，Kaifeng，475001) Wu Baoqiang (Xuzhou Normal University，221009) He Huixia(Henan University，Kaifeng，475001) |
| 摘 要： | §１． ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＭｂｅａｎｎ－ｄｉｍｅｎｓｉｏｎａｌｃｏｎｆｏｒｍａｌｌｙｆｌａｔｍａｎｉｆｏｌｄｗｉｔｈｃｏｎｓｔａｎｔｓｃａｌａｒｃｕｒｖａｔｕｒｅρ（ｎ≥３）．ＷｈｅｎｔｈｅＲｉｃｃｉｃｕｒｖａｔｕｒｅＳｏｆＭｉｓｏｆｂｏｕｎｄｅｄｂｅｌｏｗａｎｄｙＳｙ２＜ρ２／（ｎ－１），Ｇｏｌｄ－ｂｅｒｇｐｒｏｖｅｄｔｈａｔＭｉｓｏｆｃｏｎｓｔａｎｔｃｕｒｖａｔｕｒｅ［１］．ＷｈｅｎＭｉｓａｃｏｍｐａｃｔｍａｎｉｆｏｌｄｗｉｔｈｐｏｓｉｔｉｖｅＲｉｃｃｉｃｕｒｖａｔｕｒｅ，ＷｕＢ… |
| 关 键 词： | 纯量曲率 拟共形平坦流形 RiCCi曲率 |
Quasi-conformally Flat Manifolds with Constant Scalar Curvature |
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| Song Hongzao. Quasi-conformally Flat Manifolds with Constant Scalar Curvature[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(4): 1-6 | |
| Authors: | Song Hongzao |
| Affiliation: | [1]Henan [2]University,KaiFeng,475001 |
| Abstract: | Goldberg and Wu studied a conformally flat manifold M with constant scalar curvature. When the Ricci curvature of M is of bounded below or positive,the conditions of M becoming a constant curvature manifold are obtained. In this paper,we consider conharmonically flat manifolds and quasi conformally flat manifolds with constant saclar curvature. The corresponding results are generalized. |
| Keywords: | quasi conformally flat conharmonically flat scalar curvature Ricci curvature |
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