A sphere as a surface which contains many circles. II (Q1114165)
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scientific article; zbMATH DE number 4084466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sphere as a surface which contains many circles. II |
scientific article; zbMATH DE number 4084466 |
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A sphere as a surface which contains many circles. II (English)
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1989
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This is a continuation of the author's paper in ibid. 24, 123-130 (1985; Zbl 0571.53001). Here either of the following two conditions is shown to characterize the Euclidean sphere among smooth surfaces M in \(E^ 3:\) a) M is simply connected and complete, and through each \(p\in M\) there passes a circle on M which is contained in a normal plane to M at p. b) M is compact and for each \(p\in M\) at least one normal section of M at p consists of a circle.
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characterization of spheres
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normal section
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circle
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0.95114267
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0.8019031
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