Geometric flows have proved to be a powerful geometric analysis tool, perhaps most notably
in the study of 3-manifold topology, the differentiable sphere theorem, Hermitian–Yang–Mills …

Given a 7-dimensional compact Riemannian manifold\left (M, g\right) M, g that admits G_ 2
G 2-structure, all the G_ 2 G 2-structures that are compatible with the metric g are …

We give a twistorial interpretation of geometric structures on a Riemannian manifold, as
sections of homogeneous fibre bundles, following an original insight by Wood (Differ Geom …

We find explicit solutions of the Laplacian coflow of G_2 G 2-structures on seven-
dimensional almost-abelian Lie groups. Moreover, we construct new examples of solitons …