6 citations · 6 across the 8 of their papers we have counts for
10 papers
First Laplace eigenvalue of strongly isotropy irreducible spaces
Emilio A. Lauret, Fiorela Rossi Bertone, Alejandro Tolcachier
We study the smallest positive eigenvalue of the Laplace-Beltrami operator associated with any compact strongly isotropy irreducible space. We provide an explicit expression…
Linear stability of Perelman's -entropy of standard Einstein manifolds
Emilio A. Lauret, Alejandro Tolcachier
Paul Schwahn recently exhibited 112 non-symmetric, connected, simply connected, compact Einstein manifolds that are stable with respect to the total scalar curvature functional res…
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 …
Hypercomplex structures on special linear groups
Adrián Andrada, Agustín Garrone, Alejandro Tolcachier
The purpose of this article is twofold. First, we prove that the -dimensional Lie group does not admit a left-invariant hypercomplex structure.…
On the canonical bundle of complex solvmanifolds and applications to hypercomplex geometry
Adrián Andrada, Alejandro Tolcachier
We study complex solvmanifolds with holomorphically trivial canonical bundle. We show that the trivializing section of this bundle can be either invariant or non-in…
Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds
Adrián Andrada, Alejandro Tolcachier
An almost abelian Lie group is a solvable Lie group with a codimension-one normal abelian subgroup. We characterize almost Hermitian structures on almost abelian Lie groups where t…
Harmonic complex structures and special Hermitian metrics on products of Sasakian manifolds
Adrián Andrada, Alejandro Tolcachier
It is well known that the product of two Sasakian manifolds carries a 2-parameter family of Hermitian structures . We show in this article that the complex struc…
-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…
Classification of 6-dimensional splittable flat solvmanifolds
Alejandro Tolcachier
A flat solvmanifold is a compact quotient where is a simply-connected solvable Lie group endowed with a flat left invariant metric and is a lattice of .…
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…