Project Details
Abstract
Theorem 2 Let k be an odd integer, n an ineger satisfying 1 <less than or equal> k < n <less than or equal> 2k. If M^n * R^<n+1> is a properly immersed elliptic type complete hypersurf ace with H_k = 0, then M cannot be contained in any Euclidean halfspace.
| Status | Finished |
|---|---|
| Effective start/end date | 1997/01/01 → 1998/12/31 |
Funding
- Japan Society for the Promotion of Science: ¥3,100,000.00
Keywords
- Bernstein theorem
- 余次元の高いグラフ
- 高次平均曲率
- half space theorem
- normal connection
- 最大値原理
- Bennstein Problem
- 極小部分多様体
- higher codimensional graph
- higher order mean curvature
- halfspace theorem