Caratheodory curve: Difference between revisions
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* [[Barner curve]] | * [[Barner curve]] | ||
==Facts== | |||
===Sedykh's theorem=== | |||
{{further|[[Sedykh's theorem]]}} | |||
Any Caratheodory curve has at least four [[flattening]]s. | |||
Latest revision as of 19:33, 18 May 2008
Definition
A Caratheodory curve is a closed -smooth curve in with nonvanishing curvature.
Relation with other properties
Stronger properties
Facts
Sedykh's theorem
Further information: Sedykh's theorem
Any Caratheodory curve has at least four flattenings.