| A Pinching Theorem for Minimal Submanifolds in Sphere |
| |
| 作者单位： | Department of Mathematics and Physics，Huainan Institute of Technology，Anhui，232001 |
| |
| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＭｂｅａｎｎ－ｄｉｍｅｎｓｉｏｎａｌｃｌｏｓｅｄｍｉｎｉｍａｌｙｉｍｍｅｒｓｅｄｓｕｂｍａｎｉｆｏｌｄｉｎｔｈｅｕｎｉｔｓｐｈｅｒｅＳｎ＋ｐ，Ｓｔｈｅｓｅｑｕｒｅｏｆｔｈｅｌｅｎｇｔｈｏｆｔｈｅｓｅｃｏｎｄｆｕｎｄ...
|
A Pinching Theorem for Minimal Submanifolds in Sphere |
| |
| Xu Zhicai. A Pinching Theorem for Minimal Submanifolds in Sphere[J]. Northeastern Mathematical Journal, 1998, 0(4) |
| |
| Authors: | Xu Zhicai |
| |
| Abstract: | Let M be an n dimensional compact minimal submanifold in the unit sphere S n+p . An integral formula concerning the square of the length of the second fundamental form of M and the infimum of the Ricci curvature is obtained by employing the Gauss map of M. The formula shows that M is a totally geodesic submanifold under some further condition. |
| |
| Keywords: | Minimal Submanifold Gauss Mapping Ricci Curvature Totally Geodesic Submanifold |
| 本文献已被 CNKI 等数据库收录！ |
