Search results for "Four-vertex theorem"

showing 2 items of 2 documents

On the number of singularities, zero curvature points and vertices of a simple convex space curve

1995

We prove a generalization of the 4 vertex theorem forC3 closed simple convex space curves including singular and zero curvature points.

Convex analysisCombinatoricsFundamental theorem of curvesConvex polytopeConvex curveMathematical analysisConvex setTotal curvatureFour-vertex theoremGeometry and TopologyCurvatureMathematicsJournal of Geometry
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A four vertex theorem for strictly convex space curves

1993

Convex analysisDiscrete mathematicsConvex hullConvex setSpace curfFour-vertex theoremVertex theoremKrein–Milman theoremConvex spaceStrictly convex spaceVertex (curve)Danskin's theoremGeometry and TopologyMathematics
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