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Isometric embedding of the 2-sphere with non negative curvature in ℝ3

✍ Scribed by J. Hong; C. Zuily


Book ID
110559779
Publisher
Springer-Verlag
Year
1995
Tongue
French
Weight
432 KB
Volume
219
Category
Article
ISSN
0025-5874

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✍ Philippe Delanoë 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 84 KB

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