A Berger type normal holonomy theorem for complex submanifolds

We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective spac

Holonomy and submanifold geometry

We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem. At the same time, from geometric methods in submanifold theory we sketch very strong applications to the holonomy of Lorentzian manifolds. Moreover we give a conceptual modern proof of a result of Kostant for homogeneous space

Facilitated spin models of dissipative quantum glasses

We introduce a class of dissipative quantum spin models with local interactions and without quenched disorder that show glassy behaviour. These models are the quantum analogs of the classical facilitated spin models. Just like their classical counterparts, quantum facilitated models display complex glassy dynamics despite the fact that their stationary state is essentially trivial. In these systems, dynamical arrest is a consequence of kinetic constraints and not of static ordering. These models display a quantum version of dynamic heterogeneity: the dynamics towards relaxation is spatially correlated despite the absence of static correlations. Associated dynamical fluctuation phenomena such as decoupling of timescales is also observed. Moreover, we find that close to the classical limit quantum fluctuations can enhance glassiness, as recently reported for quantum liquids.Comment: 7 pages, 6 figure

The Implementation of the Human Right to Water in Argentina and Colombia

The article deals with the recognition of access to water as a human right in various international legal instruments offering a comparative perspective from the practice in Argentina and Colombia. The essay explores the human right to water providing with new insights about the enforceability (referred to as 'justiciability') of the right to water in light of recent rulings issued by the Colombian Constitutional Court and different judgements by Argentine courts. In the analysis the authors further underline main obstacles in the enforcement of the human right to water and the challenges for its protection in the context of climate change. © 2015