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Systolic Inequalities and Minimal Hypersurfaces

✍ Scribed by Larry Guth

Publisher
Springer
Year
2010
Tongue
English
Weight
145 KB
Volume
19
Category
Article
ISSN
1016-443X

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πŸ“œ SIMILAR VOLUMES

Stable minimal hypersurfaces in locally
Stable minimal hypersurfaces in locally symmetric spaces
✍ Gabjin Yun πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 121 KB

## Abstract Let__M__ be a complete non‐compact stable minimal hypersurface in a locally symmetric space __N__ of nonnegative Ricci curvature. We prove that if the integral of square norm of the second fundamental form is finite, i.e., ∫~__M__~ |__A__ |^2^ __dv__ < ∞, then __M__ must be totally geo