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A correction to: Sobolev and isoperimetric inequalities for riemannian submanifolds

✍ Scribed by David Hoffman; Joel Spruck

Publisher: John Wiley and Sons
Year: 1975
Tongue: English
Weight: 64 KB
Volume: 28
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160280607

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## 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