A submanifold which contains many extrinsic circles (Q796834)
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scientific article; zbMATH DE number 3866093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A submanifold which contains many extrinsic circles |
scientific article; zbMATH DE number 3866093 |
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A submanifold which contains many extrinsic circles (English)
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1984
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The authors prove the following theorem together with several generalizations: Let M be a surface in \(E^ 3\). Suppose that, through each \(p\in M\), there exist two circles of \(E^ 3\) which are tangent to each other at p, and contained in M near p. Then M is locally a plane or a sphere.
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extrinsic spheres
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surface
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two circles
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