44 citations · 633 across the 77 of their papers we have counts for
78 papers
Quadratic forms and their duals
Hans Havlicek
There are many specific results, spread over the literature, regarding the dualisation of quadrics in projective spaces and quadratic forms on vector spaces. In the present work we…
Affine Metric Geometry and Weak Orthogonal Groups
Hans Havlicek
By following the ideas underpinning the well-established ``homogeneous model'' of an -dimensional Euclidean space, we investigate whether the motion group or the weak motion gro…
Projective metric geometry and Clifford algebras
Hans Havlicek
Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains a distinguished group, known as the Lipschitz group. We sho…
Completing bases in four dimensions
Hans Havlicek, Karl Svozil
Criteria and constructive methods for the completion of an incomplete basis of, or context in, a four-dimensional Hilbert space by (in)decomposable vectors are given.
Characterising Clifford parallelisms among Clifford-like parallelisms
Hans Havlicek, Stefano Pasotti, Silvia Pianta
We recall the notions of Clifford and Clifford-like parallelisms in a -dimensional projective double space. In a previous paper the authors proved that the linear part of the fu…
Germán Ancochea's work on projectivities, harmonicity preservers and semi-homomorphisms
Hans Havlicek
Our main aim is to analyse three articles of Germán Ancochea (published 1941, 1942 and 1947) and to describe their impact in algebra and geometry.