44 citations · 633 across the 77 of their papers we have counts for
11 papers · 2 filters
Quadratic embeddings
Hans Havlicek, Corrado Zanella
The quadratic Veronese embedding maps the point set of $\PG{n,F)$ into the point set of ( a commutative field) and has the following well-known…
Weak Linear Mappings -- A Survey
Hans Havlicek
There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappi…
Chow's Theorem for Linear Spaces
Hans Havlicek
If is a bijection from the set of lines of a linear space onto the set of lines of a linear space (), such that intersecting l…
A Characteristic Property of Elliptic Plücker Transformations
Hans Havlicek
We discuss elliptic Plücker transformations of three-dimensional elliptic spaces. These are permutations on the set of lines such that any two related (orthogonally intersecting or…
Isomorphisms of Affine Plücker Spaces
Hans Havlicek
All isomorphisms of Plücker spaces on affine spaces with dimensions arise from collineations of the underlying affine spaces.
On the Matrices of Central Linear Mappings
Hans Havlicek
We show that a central linear mapping of a projectively embedded Euclidean -space onto a projectively embedded Euclidean -space is decomposable into a central projection foll…
Projective Ring Lines and Their Generalisations
Hans Havlicek
We give a survey on projective ring lines and some of their substructures which in turn are more general than a projective line over a ring.
Affine Circle Geometry over Quaternion Skew Fields
Hans Havlicek
We investigate the a{\pm}ne circle geometry arising from a quaternion skew field and one of its maximal commutative subfields.
On Isomorphisms of Grassmann Spaces
Hans Havlicek
We exhibit isomorphisms of Grassmann spaces and their relationship with collineations and embeddings of the underlying projective spaces.
Geometric structures on finite- and infinite-dimensional Grassmannians
Andrea Blunck, Hans Havlicek
In this paper, we study the Grassmannian of n-dimensional subspaces of a 2n-dimensional vector space and its infinite-dimensional analogues. Such a Grassmannian can be endowed with…
A point model for the free cyclic submodules over ternions
Hans Havlicek, Boris Odehnal, Jaroslaw Kosiorek
We show that the set of all (unimodular and non-unimodular) free cyclic submodules of T^2, where T is the ring of ternions over a commutative field, admits a point model in terms o…