Ulrich bundles E with c2(E)^2=0 on n-dimensional varieties (n≥4) admit an almost complete classification that imposes strong geometric constraints on the base variety X.
http://ricerca.mat.uniroma3.it/users/lopez/Mathematica-for-c3.pdf Zenodo doi https://zenodo.org/records/19409790
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Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties
Ulrich bundles E with c2(E)^2=0 on n-dimensional varieties (n≥4) admit an almost complete classification that imposes strong geometric constraints on the base variety X.