Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Arroyo, Romina M."'
We classify the nilpotent almost abelian Lie algebras admitting complex or symplectic structures. It turns out that if a nilpotent almost abelian Lie algebra admits a complex structure, then it necessarily admits a symplectic structure. Given an even
Externí odkaz:
http://arxiv.org/abs/2406.06819
This work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a family of solvmanifolds. We introduce the mean curvature flow and some
Externí odkaz:
http://arxiv.org/abs/2305.02378
Autor:
Arroyo, Romina M., Nicolini, Marina
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 $k$-step ($k>2$) complex nilmanifold admitting an invariant SKT metric.
Externí odkaz:
http://arxiv.org/abs/2201.12167
Autor:
Arroyo, Romina M., Lafuente, Ramiro A.
We completely describe the signatures of the Ricci curvature of left-invariant Riemannian metrics on arbitrary real nilpotent Lie groups. The main idea in the proof is to exploit a link between the kernel of the Ricci endomorphism and closed orbits i
Externí odkaz:
http://arxiv.org/abs/2009.11464
We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of conditions for the solvability of the underlying equations and discus
Externí odkaz:
http://arxiv.org/abs/2006.15765
Publikováno v:
Differential Geometry and its Applications 78 (2021), article 101794
We study the problem of prescribing the Ricci curvature in the class of naturally reductive metrics on a compact Lie group. We derive necessary as well as sufficient conditions for the solvability of the equations and provide a series of examples.
Externí odkaz:
http://arxiv.org/abs/2001.09441
Autor:
Arroyo, Romina M., Lafuente, Ramiro A.
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, after a suitable normalizatio
Externí odkaz:
http://arxiv.org/abs/1712.02075
Publikováno v:
In Differential Geometry and its Applications October 2021 78
Autor:
Arroyo, Romina M., Lafuente, Ramiro A.
The long-standing Alekseevskii conjecture states that a connected homogeneous Einstein space G/K of negative scalar curvature must be diffeomorphic to R^n. This was known to be true only in dimensions up to 5, and in dimension 6 for non-semisimple G.
Externí odkaz:
http://arxiv.org/abs/1503.07079
Publikováno v:
Boletín de la Sociedad Matemática Mexicana; Jul2024, Vol. 30 Issue 2, p1-22, 22p