6533b853fe1ef96bd12ac9be
RESEARCH PRODUCT
Convexly generic curves in R 3
M. C. Romero FusterM. C. Romero Fustersubject
Convex hullPure mathematicsDifferential geometryHyperbolic geometryFamily of curvesRegular polygonConvex setGeometryGeometry and TopologyAlgebraic geometryMathematicsProjective geometrydescription
We study curves immersed in R 3, with special interest in the description of their convex hull frontier structure from a global viewpoint. Genericity conditions are set for these curves by looking at the singularities of height functions on them. We define panel structures for convexly generic curves and work out numerical relations involving the number of tritangent support planes. As a consequence, a generic version of the 4-vertex theorem for convex curves in R 3 is obtained.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1988-10-01 | Geometriae Dedicata |