- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 41
- On circles and spheres in geometry
On circles and spheres in geometry
Authors : C. Murathan
Pages : 0-0
Doi:10.1501/Commua1_0000000496
View : 6 | Download : 4
Publication Date : 1992-01-01
Article Type : Research
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 — IRmKeywords : geometry, spheres, circles