A generalized four-vertex theorem (Q1110808)
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scientific article; zbMATH DE number 4073848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalized four-vertex theorem |
scientific article; zbMATH DE number 4073848 |
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A generalized four-vertex theorem (English)
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1988
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In this conformal generalization of the Four-vertex Theorem, the author shows that the existence of vertices (usual definition) depends upon what type of singularities (usual definition) a curve possesses. The main result: a curve \(\Gamma\) in the real conformal plane, with only singular points that are strongly differentiable, has at least four vertices.
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strong differentiability
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conformal generalization of the Four-vertex Theorem
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vertices
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conformal plane
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