Caratheodory curve: Difference between revisions
No edit summary |
No edit summary |
||
| Line 10: | Line 10: | ||
* [[Barner curve]] | * [[Barner curve]] | ||
==Facts== | |||
===Sedykh's theorem=== | |||
{{further|[[Sedykh's theorem]]}} | |||
Any Caratheodory curve has at least four [[flattening]]s. | |||
Revision as of 15:16, 18 July 2007
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.