On circles and spheres in geometry
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
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- Communications, Series A1:Mathematics and Statistics
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi
Sayıdaki Diğer Makaleler
On the periodic solutions of certain class of eighth-order differential equations
On the degree of aproximation of a periodic function f almost Riesz- means of its conjugate series
Fixed point theorems for some discontinous operators in 2-Metric spaces
Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n