Convex-concave body in $\mathbb{R}P^3$ contains a line
| dc.creator | Khovanskii, A. | |
| dc.creator | Novikov, D. | |
| dc.date | 2002-03-19 | |
| dc.date.accessioned | 2026-07-07T04:47:10Z | |
| dc.date.available | 2026-07-07T04:47:10Z | |
| dc.description | We define a class of $L$-convex-concave subsets of $\mathbb{R}P^3$, where $L$ is a projective line in $\mathbb{R}P^3$. 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. | |
| dc.description | 28pp. 37 figures (ups...) | |
| dc.identifier | https://arxiv.org/abs/math/0203200 | |
| dc.identifier | http://arxiv.org/abs/math/0203200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63608 | |
| dc.subject | Differential Geometry | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 52A30; 26B25, 52A37 | |
| dc.title | Convex-concave body in $\mathbb{R}P^3$ contains a line | |
| dc.type | text |