Convex-concave body in RP³ contains a line
Khovanskii, A. · Novikov, D.
Original · EN
We define a class of L-convex-concave subsets of RP³, where L is a projective line in RP³. These are sets whose sections by any plane containing L are convex and concavely depend on this plane. We prove a version of Arnold hypothesis for these sets, namely we prove that each such set contains a line.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.