5 papers
Generalizing quadratic -Algebraic sets in
Javier Bracho, Luis Montejano
Motivated by our study of the complex Banach conjecture, we characterize a complex ellipsoids as compact subsets of , with the property that every complex…
Flat grazes of convex bodies and local characterization of quadrics
Jesús Jerónimo-Castro, Luis Montejano, Efrén Morales-Amaya
We prove several localized characterizations of quadrics and, between them, the localized Blaschke's Theorem and use this result to give some characterizations of the ellipsoid rel…
The 10 antipodal pairings of strongly involutive polyhedra
Javier Bracho, Eric Paulí Pérez, Luis Montejano +1
It is known that strongly involutive polyhedra are closely related to self-dual maps where the antipodal function acts as duality isomorphism. Such a family of polyhedra appears in…
New approaches and error assessment to snow cover thickness and density using air temperature data at different heights
Diego García-Maroto, Luis Durán, Miguel Ángel de Pablo Hernández
Snow poles are inexpensive systems composed of a wooden mast with temperature sensors affixed at varying heights with the purpose of estimating the snow depth. They are frequently…
Complex homothetic sections and projections through a Helly type Theorem for cosets of
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…