Javier Bracho

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20162024

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math.MG2023

Complex homothetic sections and projections through a Helly type Theorem for cosets of $§^{1}$

Jorge Luis Arocha, Javier Bracho, Luis Montejano

We prove that two closed subsets of complex space $\C^n$ with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theore…

math.MG2022

Reflections of convex bodies and their sections

Jorge L. Arocha, Javier Bracho, Luis Montejano

The purpose of this paper is to study the reflections of a convex body. In particular, we are interested in orthogonal reflections of its sections that can be extended to reflectio…

math.MG2016

Rotors in triangles and tethrahedra

Luis Montejano, Javier Bracho

A polytope $P$ is circumscribed about a convex body $Φ \subset R^{n}$ if $Φ \subset P$ and each facet of $P$ is contained in a support hyperplane of $Φ$ . We say that a convex…

Complex homothetic sections and projections through a Helly type Theorem for cosets of §1

Reflections of convex bodies and their sections

Rotors in triangles and tethrahedra

Complex homothetic sections and projections through a Helly type Theorem for cosets of $§^{1}$