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 …

On some Grassmannians carrying an even Clifford structure - ScienceDirect Skip to main
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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 …

We introduce the concept of a Clifford–Weyl structure on a conformal manifold, which
consists of an even Clifford structure parallel with respect to the tensor product of a metric …

A classical theoremof Kervaire states that products of spheres are parallelizable if and only if
at least one of the factors has odd dimension. Two explicit parallelizations on S m× S 2 h− 1 …

We present a diamond shaped diagram for even Clifford manifolds similar to the quaternion-
Kähler diamond studied by Ch. Boyer and K. Galicki. We define two spaces SS and UU …

Motivated by the recent interest in even-Clifford structures and in generalized complex and
quaternionic geometries, we introduce the notion of generalized almost even-Clifford …

A comparison among different constructions in H^ 2 ≅ R^ 8 H 2≅ R 8 of the quaternionic 4-
form Φ _ Sp (2) Sp (1) Φ Sp (2) Sp (1) and of the Cayley calibration Φ _ Spin (7) Φ Spin (7) …

We introduce a notion of twisted pure spinor in order to characterize, in a unified way, all the
special Riemannian holonomy groups just as a classical pure spinor characterizes the …

We present a diamond shaped diagram for even Clifford manifolds similar to the quaternion-
Kähler diamond studied by Ch. Boyer and K. Galicki. We define two spaces S and U which …