4 papers
SKT structures on nilmanifolds
Romina M. Arroyo, Marina Nicolini
The aim of this article is to study the existence of invariant SKT structures on nilmanifolds. More precisely, we give a negative answer to the question of whether there exist a $k…
New examples of shrinking Laplacian solitons
Marina Nicolini
We give a one-parameter family of examples of shrinking Laplacian solitons, which are the second known solutions to the closed -Laplacian flow with a finite-time singularity.…
The classification of ERP G2-structures on Lie groups
Jorge Lauret, Marina Nicolini
A complete classification of left-invariant closed G2-structures on Lie groups which are extremally Ricci pinched, up to equivalence and scaling, is obtained. There are five of the…
Extremally Ricci pinched G2-structures on Lie groups
Jorge Lauret, Marina Nicolini
Only two examples of extremally Ricci pinched G2-structures can be found in the literature and they are both homogeneous. We study in this paper the existence and structure of such…