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The relative isoperimetric inequality outside convex domains in Rn

✍ Scribed by Jaigyoung Choe; Mohammad Ghomi; Manuel Ritoré


Book ID
106176083
Publisher
Springer
Year
2007
Tongue
English
Weight
183 KB
Volume
29
Category
Article
ISSN
0944-2669

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Relative isoperimetric inequalities for
✍ Keomkyo Seo 📂 Article 📅 2012 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract Let __C__ be a closed convex set in a complete simply connected Riemannian manifold __M__ with sectional curvature bounded above by a positive constant __K__. Assume that Σ is a compact minimal surface outside __C__ such that Σ is orthogonal to ∂__C__ along ∂Σ∩∂__C__ and ∂Σ ∼ ∂__C__ is