Further results on non-diagonal Bianchi type III vacuum metrics

We present the derivation, for these vacuum metrics, of the Painlev\'e VI equation first obtained by Christodoulakis and Terzis, from the field equations for both minkowskian and euclidean signatures. This allows a complete discussion and the precise connection with some old results due to Kinnersley. The hyperk\"ahler metrics are shown to belong to the Multi-Centre class and for the cases exhibiting an integrable geodesic flow the relevant Killing tensors are given. We conclude by the proof that for the Bianchi B family, excluding type III, there are no hyperk\"ahler metrics.Comment: 21 pages, no figure

Slowly Rotating Homogeneous Stars and the Heun Equation

The scheme developed by Hartle for describing slowly rotating bodies in 1967 was applied to the simple model of constant density by Chandrasekhar and Miller in 1974. The pivotal equation one has to solve turns out to be one of Heun's equations. After a brief discussion of this equation and the chances of finding a closed form solution, a quickly converging series solution of it is presented. A comparison with numerical solutions of the full Einstein equations allows one to truncate the series at an order appropriate to the slow rotation approximation. The truncated solution is then used to provide explicit expressions for the metric.Comment: 16 pages, uses document class iopart, v2: minor correction

Bianchi type II,III and V diagonal Einstein metrics re-visited

We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the geodesic flow while for the third case a somewhat unusual bifurcation phenomenon takes place: for minkowskian signature elliptic functions are essential in the metric while for euclidean signature only elementary functions appear

Gobierno y eficiencia de las cajas de ahorro espa¤olas

El presente trabajo analiza la relaci¢n existente entre la composici¢n y estructura de los ¢rganos de gobierno de las cajas de ahorros espa¤olas y su eficiencia en el a¤o 1999. Utilizando ecuaciones tobit los resultados del estudio constatan la existencia de una relaci¢n negativa entre la participaci¢n de las administraciones p£blicas en el consejo de administraci¢n de las cajas y su eficiencia en costes calculada, alternativamente, a trav‚s de un modelo de frontera eficiente y de la ratio gastos de explotaci¢n entre margen ordinario. Asimismo se evidencia una relaci¢n positiva entre la participaci¢n de pol¡ticos en el consejo y la canalizaci¢n de mayores recursos financieros hacia obras sociales.Teor¡a de la agencia; gobierno corporativo; consejo de administraci¢n; cajas de ahorros; eficiencia

Relativistic Elastostatics I: Bodies in Rigid Rotation

We consider elastic bodies in rigid rotation, both nonrelativistically and in special relativity. Assuming a body to be in its natural state in the absence of rotation, we prove the existence of solutions to the elastic field equations for small angular velocity.Comment: 25 page

Identification of nonlinearity in conductivity equation via Dirichlet-to-Neumann map

We prove that the linear term and quadratic nonlinear term entering a nonlinear elliptic equation of divergence type can be uniquely identified by the Dirichlet to Neuman map. The unique identifiability is proved using the complex geometrical optics solutions and singular solutions

Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order

The present article reveals important properties of the confluent Heun's functions. We derive a set of novel relations for confluent Heun's functions and their derivatives of arbitrary order. Specific new subclasses of confluent Heun's functions are introduced and studied. A new alternative derivation of confluent Heun's polynomials is presented.Comment: 8 pages, no figures, LaTeX file, final versio

On one integrable system with a cubic first integral

Recently one integrable model with a cubic first integral of motion has been studied by Valent using some special coordinate system. We describe the bi-Hamiltonian structures and variables of separation for this system.Comment: LaTeX with AMS fonts, 9 page

Splenomegaly, elevated alkaline phosphatase and mutations in the SRSF2/ASXL1/RUNX1 gene panel are strong adverse prognostic markers in patients with systemic mastocytosis

We evaluated the impact of clinical and molecular characteristics on overall survival (OS) in 108 patients with indolent (n=41) and advanced SM (advSM, n=67). Organomegaly was measured by magnetic resonance imaging (MRI)-based volumetry of liver and spleen. In multivariate analysis of all patients, an increased spleen volume greater than or equal to450?ml (hazard ratio [HR], 5.2; 95% confidence interval [CI], [2.1–13.0]; P=0.003) and an elevated alkaline phosphatase (AP; HR 5.0 [1.1–22.2]; P=0.02) were associated with adverse OS. The 3-year OS was 100, 77, and 39%, respectively (P<0.0001), for patients with 0 (low-risk, n=37), 1 (intermediate-risk, n=32) or 2 (high-risk, n=39) parameters. For advSM patients with fully available clinical and molecular data (n=60), univariate analysis identified splenomegaly greater than or equal to1200?ml, elevated AP and mutations in the SRSF2/ASXL1/RUNX1 (S/A/R) gene panel as significant prognostic markers. In multivariate analysis, mutations in S/A/R (HR, 3.2 [1.1–9.6]; P=0.01) and elevated AP (HR 2.6 [1.0–7.1]; P=0.03) remained predictive adverse prognostic markers for OS. The 3-year OS was 76% and 38%, respectively (P=0.0003), for patients with 0-1 (intermediate-risk, n=28) or 2 (high-risk, n=32) parameters. We conclude that splenomegaly, elevated AP and mutations in the S/A/R gene panel are independent of the WHO classification and provide the most relevant prognostic information in SM patient