7 citations · 14 across the 9 of their papers we have counts for
18 papers
An overview of complex ellipsoids
Jorge Luis Arocha, Javier Bracho, Luis Montejano
An ellipsoid is the image of a ball under an affine transformation. If this affine transformation is over the complex numbers, we refer to it as a complex ellipsoid. Characterizati…
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…
Extremal inscribed and circumscribed complex ellipsoids
Jorge L. Arocha, Javier Bracho, Luis Montejano
We prove that if a convex set in Cn contains two inscribed complex ellipsoid of maximal volume then one is a translate of the other. On the other hand, the circumscribed complex el…