INVESTIGADORES
LAURET Jorge Ruben
artículos
Título:
Extremally Ricci pinched G2-structures on Lie groups
Autor/es:
JORGE LAURET; MARINA NICOLINI
Revista:
COMMUNICATIONS IN ANALYSIS AND GEOMETRY
Editorial:
INT PRESS BOSTON, INC
Referencias:
Año: 2019
ISSN:
1019-8385
Resumen:
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 very special closed G2-structures on Lie groups. Strong structural conditions on the Lie algebra are proved to hold. As an application, we obtain three new examples of extremally Ricci pinched G2-structures and that they are all necessarily steady Laplacian solitons. The deformation and rigidity of such structures are also studied.
