𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on hypersurfaces in a Euclidean space

✍ Scribed by Sharief Deshmukh


Publisher
Springer
Year
1990
Tongue
English
Weight
82 KB
Volume
34
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis


We obtain a characterization for a compact and connected hypersurface of R n + 1 to be a sphere in terms of the lower bound on the Ricci curvature.


πŸ“œ SIMILAR VOLUMES


On convex hypersurfaces in a space form
✍ C. Baikoussis; Th. Koufogiorgos πŸ“‚ Article πŸ“… 1988 πŸ› Springer Vienna 🌐 English βš– 278 KB
A Note on lattices of euclidean subspace
✍ Ton Geerts πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 256 KB

Any nonvoid lattice of subspaces from R" is known to be a complete lattice, and hence it has a largest and smallest element. Here we show that for a specific class of subspaces also the converse is true. If this class has a largest and a smallest element, then it is a complete lattice. Within the co