3 papers
math.DG2024
Six-dimensional complex solvmanifolds with non-invariant trivializing sections of their canonical bundle
Alejandro Tolcachier
It is known that there exist complex solvmanifolds whose canonical bundle is trivialized by a holomorphic section which is not invariant under the action of …
math.DG2022
-structures on flat solvmanifolds
Alejandro Tolcachier
In this article we study the relation between flat solvmanifolds and -geometry. First, we give a classification of 7-dimensional flat splittable solvmanifolds using the classi…
math.DG2019
Holonomy groups of compact flat solvmanifolds
Alejandro Tolcachier
This article is concerned with the study of the holonomy group of flat solvmanifolds. It is known that the holonomy group of a flat solvmanifold is abelian; we give an elementary p…