arXiv subjects

Juan B. Sancho de Salas

Publications and source records attributed to Juan B. Sancho de Salas.

2 recordsLinked to original sources

arXiv2023

The Fundamental Theorem for locally projective geometries

We deal with generalizations of the Fundamental Theorem of Projective Geometry to other related geometries (of dimension $\geq 3$) and non bijective maps. We consider locally projective geometries and locally affino-projective geometries (which include the classical Möbius, Laguerre and Minkowski geometries).

math.AG↗

arXiv2023

Linear-type maps between affine and projective spaces

We determine those maps between affine or projective spaces that are linear in the abstract sense of transforming collinear points into collinear points and whose restriction to any line is constant or injective. Our results are extensions of the classical Fundamental Theorems of Affine and Projective Geometries.

math.AG↗