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Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures
(Springer, 2018-03)
We study the existence of lattices in almost abelian Lie groups that admit left invariant locally conformal Kähler or locally conformal symplectic structures in order to obtain compact solvmanifolds equipped with these ...
Invariant almost Hermitian structures on flag manifolds
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2003)
Estructuras localmente conformes Kähler y localmente conformes simplécticas en solvariedades compacta
(2017-03)
En esta tesis estudiamos las estructuras localmente conformes Kähler (LCK) y localmente conformes simplécticas (LCS) invariantes a izquierda en grupos de Lie, o equivalentemente tales estructuras en álgebras de Lie.
Luego ...
Grupos de Bieberbach y holonomía de solvariedades planas
(2018-12-17)
Una solvariedad es una variedad compacta de la forma L/G donde G es un grupo de Lie soluble simplemente conexo y L es un retículo de G. En este trabajo estudiamos solvariedades equipadas con una métrica riemanniana plana, ...
The long-time behavior of the homogeneous pluriclosed flow
(London Mathematical Society, 2019-07)
We study the asymptotic behavior of the pluriclosed flow in the case of left-invariant Hermitian structures on Lie groups. We prove that solutions on 2-step nilpotent Lie groups and on almost-abelian Lie groups converge, ...
On the symplectic curvature flow for locally homogeneous manifolds
(International Press Boston, 2017-02)
Recently, J. Streets and G. Tian introduced a natural way to evolve an almost-Kähler manifold called the symplectic curvature flow, in which the metric, the symplectic structure and the almost-complex structure are all ...
Estruturas quase hermitianas invariantes e ideais abelianos
([s.n.], 2003)
Invariant Nearly-kähler Structures
(, 2006)