Abstract
It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature ≥ κ is an Alexandrov's space of curvature ≥ κ. This theorem provides an optimal lower curvature bound for an older theorem of Buyalo.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1031-1033 |
| Number of pages | 3 |
| Journal | Illinois Journal of Mathematics |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2008 |
All Science Journal Classification (ASJC) codes
- General Mathematics
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