Alberto Raffero

activity

20182020

collaborators

5 papers

math.DG2020

Recent results on closed G $_{2}$ -structures

Anna Fino, Alberto Raffero

We review recent results concerning closed G $_{2}$ -structures on seven-dimensional manifolds. In particular, we discuss the construction of examples and some related problems.

math.DG2019

Remarks on homogeneous solitons of the G $_{2}$ -Laplacian flow

Anna Fino, Alberto Raffero

We show the existence of expanding solitons of the G $_{2}$ -Laplacian flow on non-solvable Lie groups, and we give the first example of a steady soliton that is not an extremally Ricc…

math.DG2019

Exact $G_{2}$ -structures on unimodular Lie algebras

Marisa Fernández, Anna Fino, Alberto Raffero

We consider seven-dimensional unimodular Lie algebras $g$ admitting exact $G_{2}$ -structures, focusing our attention on those with vanishing third Betti number $b_3(\mathf…

math.DG2018

Special types of locally conformal closed G $_{2}$ -structures

Giovanni Bazzoni, Alberto Raffero

Motivated by analogous results in locally conformal symplectic geometry, we study different classes of G $_{2}$ -structures defined by a locally conformal closed 3-form. In particular,…

math.DG2018

On $G_{2}$ -structures, special metrics and related flows

Marisa Fernández, Anna Fino, Alberto Raffero

We review results about $G_{2}$ -structures in relation to the existence of special metrics, such as Einstein metrics and Ricci solitons, and the evolution under the Laplacian flow on…

Recent results on closed G2​-structures

Remarks on homogeneous solitons of the G2​-Laplacian flow

Exact G2​-structures on unimodular Lie algebras

Special types of locally conformal closed G2​-structures

On G2​-structures, special metrics and related flows

Recent results on closed G $_{2}$ -structures

Remarks on homogeneous solitons of the G $_{2}$ -Laplacian flow

Exact $G_{2}$ -structures on unimodular Lie algebras

Special types of locally conformal closed G $_{2}$ -structures

On $G_{2}$ -structures, special metrics and related flows