✦ LIBER ✦
Construction of spheres with handles and non-vanishing mean curvature in the euclidean 3-space
✍ Scribed by Philippe Delanoë
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 84 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
Recent results in fully nonlinear pde's single out smooth bounded domains in the euclidean 3-space whose boundary has non-vanishing mean curvature. The literature provides no example of such domains when the genus of the boundary is strictly larger than 1. This note fills the gap with an elementary construction.