C. MURATHAN

5644

On circles and spheres in geometry

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
Keywords:

geometry, spheres circles,

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  • Communications, Series A1:Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi
Arşiv
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On circles and spheres in geometry

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