Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1992 / Cilt: 41
On circles and spheres in geometry
- Sayı
- 1992 · Cilt: 41
- Sayfa
- 1–1
- DOI
- —
Abstract
In [1] the main result (Teorem 2) which States that “a submanifold Mn of a RiemanSian maniforld Mn is an extrinsic sphere (i.e. the submanifold which is umbilic and has parallel mean curvature) iff every circle in Mn is a circle in Mm must have some additional hypothesis. We pointed out these hypothesis just the special case of Mm — IRm