A sphere as a surface which contains many circles (Q1062016)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A sphere as a surface which contains many circles |
scientific article; zbMATH DE number 3911187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sphere as a surface which contains many circles |
scientific article; zbMATH DE number 3911187 |
Statements
A sphere as a surface which contains many circles (English)
0 references
1985
0 references
A sphere in \(E^ 3\) is characterized as a compact simply connected \(C^{\infty}\) surface which contains three circles through each point. This and three related theorems are shown by arguments which mainly come from classical surface theory.
0 references
umbilical points
0 references
surface
0 references
circles
0 references
