10 citations · 49 across the 34 of their papers we have counts for
6 papers · 1 filter
Complex ellipsoids and complex symmetry
Jorge Arocha, Javier Bracho, Luis Montejano
Several characterizations of complex ellipsoids among convex bodies in Cn, in terms of their sections and projections are proved. Characterizing complex symmetry in similar terms i…
A new and simple proof of the false centre theorem
Luis Montejano, Efren Morales-Amaya
We present in this work a new and simple proof of the false centre theorem.
Convex bodies all whose sections (projections) are equal
Luis Montejano
The purpose of this paper is to answer the following question: If all hyperplane sections through the origin of a convex body are "equal", is the convex body "equal" to the ball? T…
A short proof of Kneser's theorem via transversals
Luis Montejano
A very short proof of Kneser's theorem via transversal is given.
Peabodies of Constant Width
Isaac Arelio, Luis Montejano, Deborah Oliveros
The purpose of this paper is to describe a new -dimensional family of bodies of constant width that we have called peabodies, obtained from the Reuleaux tetrahedron by replacing…
Self-dual maps II: links and symmetry
Luis Montejano, Jorge L. Ramírez Alfonsín, Ivan Rasskin
In this paper, we investigate representations of links that are either centrally symmetric in or antipodally symmetric in . By using the notions of ant…