6533b839fe1ef96bd12a6e89

RESEARCH PRODUCT

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

M. C. Romero FusterV. D. Sedykh

subject

Convex analysisCombinatoricsFundamental theorem of curvesConvex polytopeConvex curveMathematical analysisConvex setTotal curvatureFour-vertex theoremGeometry and TopologyCurvatureMathematics

description

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

https://doi.org/10.1007/bf01406837