1,721,072 research outputs found
Autogestioni argentine. Fabbriche dopo la crisi del 2001
Un viaggio in cinque «empresas recuperadas» restituisce un panorama diversificato di nuove realtà lavorativ
Autogestioni argentine. Fabbriche dopo la crisi del 2001. Un viaggio in cinque «empresas recuperadas» restituisce un panorama diversificato di nuove realtà lavorative
Optimal maps in essentially non-branching spaces
In this note we prove that in a metric measure space (X,d,m) verifying the measure contraction property with parameters K∈R and 1<N<∞, any optimal transference plan between two marginal measures is induced by an optimal map, provided the first marginal is absolutely continuous with respect to m and the space itself is essentially non-branching. In particular this shows that there exists a unique transport plan and it is induced by a map
Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds
Motivated by Perelman’s Pseudo Locality Theorem for the Ricci flow, we prove that if a Riemannian manifold has Ricci curvature bounded below in a metric ball which moreover has almost maximal volume, then in a smaller ball (in a quantified sense) it holds an almost-euclidean isoperimetric inequality. The result is actually established in the more general framework of non-smooth spaces satisfying local Ricci curvature lower bounds in a synthetic sense via optimal transportation
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: Minimization
We construct embedded Willmore tori with small area constra
int in Riemannian three-manifolds
under some curvature condition used to prevent M ̈obius dege
neration. The construction relies on a
Lyapunov-Schmidt reduction; to this aim we establish new ge
ometric expansions of exponentiated
small symmetric Clifford tori and analyze the sharp asymptot
ic behavior of degenerating tori under
the action of the M ̈obius group. In this first work we prove two
existence results by minimizing
or maximizing a suitable reduced functional, in particular
we obtain embedded area-constrained
Willmore tori (or, equivalently, toroidal critical points
of the Hawking mass under area-constraint)
in compact 3-manifolds with constant scalar curvature and i
n the double Schwarzschild space. In a
forthcoming paper new existence theorems will be achieved v
ia Morse theory
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds II : Morse Theory
The synthesis of cationic rhodium and iridium complexes of a bis(imidazol-2-thione) functionalised calix[4]arene ligand and their surprising capacity for potassium binding is described. In both cases uptake of the alkali metal into the calix[4]arene cavity occurs despite adverse electrostatic interactions associated with close proximity to the transition metal fragment (Rh+ ···K+ = 3.715(1) Å, Ir+ ···K+ = 3.690(1) Å). The formation and constituent bonding of these unusual heterobimetallic adducts has been interrogated through extensive solution and solid-state characterisation, examination of the host-guest chemistry of the ligand and its upper-rim unfunctionalised calix[4]arene analogue, and computationally using DFT-based energy decomposition analysis (EDA).This is the second part of a series of two papers where we construct embedded Willmore tori with small area constraint in Riemannian three-manifolds. In both papers the construction relies on a Lyapunov-Schmidt reduction, the difficulty being the Moebius degeneration of the tori. In the first paper the construction was performed via minimization, here by Morse Theory. To this aim we establish new geometric expansions of the derivative of the Willmore functional on small Clifford tori (in geodesic normal coordinates) which degenerate to small geodesic spheres with a small handle under the action of the Moebius group. By using these sharp asymptotics we give sufficient conditions, in terms of the ambient curvature tensors and Morse inequalities, for having existence/multiplicity of embedded tori which are stationary for the Willmore functional under the constraint of prescribed (sufficiently small) area
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