arXiv subjects

V. Sedykh

Publications and source records attributed to V. Sedykh.

2 recordsLinked to original sources

arXiv2005

On two conjectures concerning convex curves

We recall two basic conjectures on the developables of convex projective curves, prove one of them and disprove the other in the firdt nontrivial case of curves in RP^3. Namely, we show that i) the tangent developable surface of any convex curve in RP^3 has 'degree' 4 and ii) construct an example of 4 tangent lines to a convex curve in RP^3 such that no real line intersects all four of them.

math.AG↗

arXiv1996

On Young hulls of convex curves in R^{2n}

For a convex curve in an even-dimensional affine space we introduce a series of convex domains (called Young hulls), describe their structure and give a formulas fo the volume of the biggest of these domains. This paper is an attempt to generalize the classical isoperimetric inequality for the volume of the convex hull of a space curve due to I.Schoenberg.

dg-ga↗