Sobolev and isoperimetric inequalities for riemannian submanifolds
โ Scribed by David Hoffman; Joel Spruck
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 456 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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 โ__C__ along โฮฃโฉโ__C__ and โฮฃ โผ โ__C__ is
In this paper, we establish some sharp Sobolev trace inequalities on n-dimensional, compact Riemannian manifolds with smooth boundaries. More specifically, let We establish for any Riemannian manifold with a smooth boundary, denoted as (M, g), that there exists some constant A = A(M, g) > 0, ( โM |