The classification of all real and rational Anosov Lie algebras up to dimension 8 is given by Lauret and Will. In this paper we study 9 -dimensional Anosov Lie algebras by using the properties of very special algebraic ...

We show that for any non-trivial representation (V, π) of u(2) with the center acting as multiples of the identity, the semidirect product u(2) ⋉ πV admits a metric with negative Ricci curvature that can be explicitly ...

We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products l= (a⊕ u) ⋉ n and we obtain examples where u is any semisimple ...

Until a couple of years ago, the only known examples of Lie groups admitting left-invariant metrics with negative Ricci curvature were either solvable or semisimple.We use a general construction from a previous article of ...

It is natural to ask whether solvsolitons are global maxima for the Riccipinching functional F := scal^2/ |Ric|^2 on the set of all left-invariant metrics on a given solvableLie group S, as it is to ask whether they are ...

En este trabajo estudiamos la continuación meromórfa del núcleo de la resolvente del Laplaciano en varias situaciones. En primer lugar se considera el caso de los espacios simétricos de curvatura negativa G/K y el Laplaciano ...

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 ...

The amount of short-wave solar radiation willingly tolerated by lactating Holstein cows on pasture was determined in an equatorial semi-arid environment. The study was carried out on a dairy farm located in Limoeiro do ...