Rigidity of minimal surfaces inS3
โ Scribed by Jayakumar Ramanathan
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 208 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we deal with the following particular case of a weaker conjecture by B.Y. Chen: Are there 2-type Willmore surfaces in E 3 ? In particular we prove that the above question has a negative answer when the surface is the image under stereographic projection of a minimal surface in S 3 .
It is proved that the Riemannian product of two plane circles of different radii are the only compact surfaces of the 3-spheres in R 4 which can be constructed in R ' ~ by using eigenfunctions associated with two different eigenvalues of their corresponding Laplacians.