2,217 research outputs found

    Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow

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    We compute the (1,1)-Aeppli cohomology of compact simply-connected Lie groups. From this, we deduce that the Bismut flat metrics on the compact Bismut flat manifolds with finite fundamental group are globally stable for the pluriclosed flow. This prevents the existence of non-flat homogeneous Bismut Hermitian Einstein (hence also pluriclosed Calabi--Yau with torsion) metrics on C-spaces

    The geometry of the Bismut Connection

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    This thesis concerns the study of special metrics in Hermitian and almost-Hermitian geometry, characterized by classical constraints on the curvature of their Bismut, Chern, or Gauduchon connection. More precisely, we intend to study the analogs in Hermitian and almost-Hermitian geometry of constant scalar curvature metrics, Einstein metrics, and metrics whose curvature tensor satisfies some positivity notion. We study the existence of metrics with constant scalar curvature with respect to the Gauduchon connection, which can be interpreted as a Yamabe-type problem. We then analyze the geometry of 4-dimensional compact almost-complex manifolds that carry a second-Chern–Einstein metric and we produce new examples of such spaces. With the aim of investigating the geometry of the Bismut connection, we describe the Calabi–Yau with torsion metrics of submersion type on toric bundles over Hermitian manifolds. Moreover, we analyze the cohomological properties of compact complex manifolds equipped with a Bismut flat metric. This leads to a better understanding of the evolution of the pluriclosed flow on Bismut flat manifolds. Finally, we consider a new notion of positivity for Hermitian manifolds which involves the Bismut curvature tensor, and we investigate its behavior under the action of the Hermitian curvature flows

    Griffiths positivity for Bismut curvature and its behaviour along Hermitian Curvature Flows

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    In this note we study a positivity notion for the curvature of the Bismut connection; more precisely, we study the notion of \emph{Bismut-Griffiths-positivity} for complex Hermitian non-K\"ahler manifolds. Since the K\"ahler-Ricci flow preserves and regularizes the usual Griffiths positivity we investigate the behaviour of the Bismut-Griffiths-positivity under the action of the Hermitian curvature flows. In particular we study two concrete classes of examples, namely, linear Hopf manifolds and six-dimensional Calabi-Yau solvmanifolds with holomorphically-trivial canonical bundle. From these examples we identify some HCFs which do not preserve Bismut-Griffiths-non-negativity

    Setting up of a theoretical-experimental approach for the measurement of the vibrational impact on cultural heritages due to vehicular traffic

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    During the last years, the constant increase of the request for transport by road and by rail, connected to the economic and social development process, has provoked the birth of the phenomenon of the vibrations induced by the means of transports, with the result of stimulating the resident population's curiosity and the technical personnel's interest. Into the historic centres of the towns, it is possible to trace a series of concomitant factors that tend further to increase this process: the road superstructure mostly used in the historical centres are often stony, and their usage is due mainly to aesthetic reasons; the no-measurement or the lack of maintenance are often the causes of high levels of roughness; the buildings set into the historical centres have got a historical-art value of primary importance and some part of them (such as mosaics, pictures, etc.) are very sensitive to vibrations, being sticking to the outside walls; According to what said above, the noisy and vibrations provoked by the road traffic are becoming even more one of the main cause of the environmental damage

    A survey on rational curves on complex surfaces

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    In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the K\"ahler and non-K\"ahler setup. We systematically go through the Enriques--Kodaira classification of complex surfaces to highlight the different approaches applied to the study of rational curves in each class. We also provide several examples and point out some open problems.Comment: 19 pages, 6 figures, comments are welcome. Version accepted for publication in Riv. Mat. Univ. Parm

    Circulating SIRT1 inversely correlates with epicardial fat thickness in patients with obesity

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    Background and aim: Obesity is increasing worldwide and is related to undesirable cardiovascular outcomes. Epicardial fat (EF), the heart visceral fat depot, increases with obesity and correlates with cardiovascular risk. SIRT1, an enzyme regulating metabolic circuits linked with obesity, has a cardioprotective effect and is a predictor of cardiovascular events. We aimed to assess the relationship of EF thickness (EFT) with circulating SIRT1 in patients with obesity. Methods and results: Sixty-two patients affected by obesity and 23 lean controls were studied. Plasma SIRT1 concentration was determined by enzyme-linked immunosorbent assay (ELISA). EFT was measured by echocardiography. Body mass index (BMI), waist circumference, heart rate (HR), blood pressure, and laboratory findings (fasting glucose, insulin, HbA1c, cholesterol, and triglycerides) were assessed. SIRT1 was significantly lower (P = 0.002) and EFT was higher (P < 0.0001) in patients with obesity compared with lean controls. SIRT1 showed a negative correlation with EFT and HR in the obesity group (rho = -0.350, P = 0.005; rho = -0.303, P = 0.008, respectively). After adjustment for obesity-correlated variables, multiple linear regression analysis showed that EFT remained the best correlate of SIRT1 (beta = -0.352, P = 0.016). Conclusions: Circulating SIRT1 correlates with the visceral fat content of the heart. Serum SIRT1 levels might provide additional information for risk assessment of coronary artery disease in patients with obesity. (C) 2016 The Italian Society of Diabetology, the Italian Society for the Study of Atherosclerosis, the Italian Society of Human Nutrition, and the Department of Clinical Medicine and Surgery, Federico II University. Published by Elsevier B.V. All rights reserved

    Metabolic disorders and cardiovascular risk in HIV-infected patients treated with antiretroviral agents.

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    The clinical management of HIV-infected individuals is based on highly active antiretroviral combination therapy, which provides significant clinical benefit in most patients, but causes in a high proportion of them a metabolic syndrome that includes body fat redistribution, hypercholesterolemia, hypertriglyceridemia, and insulin resistance. These effects are particularly evident in patients treated with protease inhibitors. It is likely that the metabolic disorders related to anti-HIV treatment will eventually translate into an increased cardiovascular risk in patients submitted to such regimens

    displacements of the pipe system caused by a transient phenomenon using the dynamic forces measured in the laboratory

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    Background: When transporting liquids, in particularly over long distances, dynamic forces in the system can present a risk. The larger the system size, and the greater the pressure, the more harmful the impact is of such forces. Water is transported in this way for domestic, industrial, and fire-fighting purposes. One of the impulses of dynamic force application may be the transition of the pressure wave in the water hammer. Methods: In this paper, the results of measured dynamic forces and associated displacements recorded on the model caused by transient flow conditions are presented. For measured forces, the displacements of the pipe were also calculated by using the oscillation motion equations. Force measurements and displacement analyses were carried out in laboratory on the model of a simple fire protection system equipped with three nozzles. Results and Conclusions: The measurement results and calculations were used to calibrate a mathematical model created using MATLAB software
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