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math.DG2022★ 1 cited
Homogeneous Sasakian and 3-Sasakian Structures from the Spinorial Viewpoint
Jordan Hofmann
We give a spinorial construction of Sasakian and 3-Sasakian structures in arbitrary dimension, generalizing previously known results in dimensions 5 and 7. Furthermore, we obtain a…
math.DG2022★ 9 cited
Invariant Spinors on Homogeneous Spheres
Ilka Agricola, Jordan Hofmann, Marie-Amélie Lawn
Using the characterization of the spin representation in terms of exterior forms, we give a complete classification of invariant spinors on the nine homogeneous realizations of the…