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Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere

✍ Scribed by Markus Becker; Wolfgang Kühnel


Publisher
Springer-Verlag
Year
1996
Tongue
French
Weight
604 KB
Volume
223
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