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The isoperimetric inequality for multiply-connected minimal surfaces

โœ Scribed by Johannes C. C. Nitsche


Publisher
Springer
Year
1965
Tongue
English
Weight
323 KB
Volume
160
Category
Article
ISSN
0025-5831

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Relative isoperimetric inequalities for
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