On circles and spheres in geometry

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 : 18 | Download : 13

Publication Date : 1992-01-01

Article Type : Research Paper

Abstract :In [1] the main result insert ignore into journalissuearticles values(Teorem 2); which States that “a submanifold Mn of a RiemanSian maniforld Mn is an extrinsic sphere insert ignore into journalissuearticles values(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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