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 …

We provide the second‐known example of an extremally Ricci pinched closed G 2‐structure
on a compact 7‐manifold, by finding a lattice in the only unimodular solvable Lie group …

We study the Laplacian flow and coflow on contact Calabi–Yau 7-manifolds. We show that
the natural initial condition leads to an ancient solution of the Laplacian flow with a finite time …

We give a characterization of almost abelian Lie groups carrying left invariant hypercomplex
structures and we show that the corresponding Obata connection is always flat. We …

The concept of soliton, in its most general version, allows us to find canonical or
distinguished elements on any set provided with an equivalence relation and an …

We explore three versions of the Laplacian coflow of $ G_2 $-structures on circle fibrations
over Calabi--Yau 3-folds, interpreting their dimensional reductions to the K\" ahler geometry …

We discuss general properties of strong G $ _2 $-structures with torsion and we investigate
the twisted G $ _2 $ equation, which represents the G $ _2 $-analogue of the twisted Calabi …

We consider left-invariant G 2-structures on 7-dimensional almost Abelian Lie groups. Also,
we characterise the associated torsion forms and the full torsion tensor according to the Lie …

In this work, we approach the Laplacian coflow of a coclosed $ G_2 $-structure $\varphi $
using the formulae for the irreducible $ G_2 $-decomposition of the Hodge Laplacian and …

We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed
and coclosed G _2 G 2-structures starting from 6-dimensional solvable Lie algebras with …