26 citations · 48 across the 14 of their papers we have counts for
18 papers
Clifford systems, Clifford structures, and their canonical differential forms
Kai Brynne M. Boydon, Paolo Piccinni
A comparison among different constructions of the quaternionic -form and of the Cayley calibration shows that one can start for them from the same…
The Role of Spin(9) in Octonionic Geometry
Maurizio Parton, Paolo Piccinni
Starting from the 2001 Thomas Friedrich's work on Spin(9), we review some interactions between Spin(9) and geometries related to octonions. Several topics are discussed in this res…
On some Grassmannians carrying an even Clifford structure
Paolo Piccinni
We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the rôle of the…
On the cohomology of some exceptional symmetric spaces
Paolo Piccinni
This is a survey on the construction of a canonical or "octonionic Kähler" 8-form, representing one of the generators of the cohomology of the four Cayley-Rosenfeld projective plan…
Clifford systems in octonionic geometry
Maurizio Parton, Paolo Piccinni, Victor Vuletescu
We give an inductive construction for irreducible Clifford systems on Euclidean vector spaces. We then discuss how this notion can be adapted to Riemannian manifolds, and outline s…
The even Clifford structure of the fourth Severi variety
Maurizio Parton, Paolo Piccinni
The Hermitian symmetric space appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure. This me…