On two congruence conjectures
نویسندگان
چکیده
منابع مشابه
Two Conjectures on Convex Curves
Department of Mathematics, University of Oil and Gas (Gubkin) Moscow 117036, Russia [email protected] Department of Mathematics, University of Stockholm S-10691, Sweden, [email protected] Abstra t. In this paper we recall two basic conjectures on the developables of convex projective curves, prove one of them and disprove the other in the first nontrivial case of curves in RP3. Namely...
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In this paper we recall two basic conjectures on the developables of convex projective curves, prove one of them and disprove the other in the first nontrivial case of curves in RP . Namely, we show that i) the tangent developable 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....
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2019
ISSN: 1631-073X
DOI: 10.1016/j.crma.2019.11.004