Bounded domains which are universal for minimal surfaces
✍ Scribed by Martín, Francisco.; Meeks, William.; Nadirashvili, Nikolai.
- Book ID
- 118226414
- Publisher
- John Hopkins University Press
- Year
- 2007
- Tongue
- English
- Weight
- 341 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0002-9327
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📜 SIMILAR VOLUMES
Let IIAllp,q be the norm induced on the matrix A with n rows and m columns by the Hijlder lP and d, norms on R" and Rm (or C" and C"'), respectively. It is easy to find an upper bound for the ratio llA/l,,/ilA &y. In this paper we study the classes of matrices for which the upper bound is attained.
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 .