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Quantitative isoperimetric inequalities for a class of nonconvex sets

โœ Scribed by Giovanni Colombo; Khai T. Nguyen


Publisher
Springer
Year
2009
Tongue
English
Weight
346 KB
Volume
37
Category
Article
ISSN
0944-2669

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โœ Keomkyo Seo ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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 ฮฃ is a compact minimal surface outside __C__ such that ฮฃ is orthogonal to โˆ‚__C__ along โˆ‚ฮฃโˆฉโˆ‚__C__ and โˆ‚ฮฃ โˆผ โˆ‚__C__ is