On certain surfaces in the Euclidean space E3{\mathbb{E}}^3

In the present paper we classify all surfaces in \E^3 with a canonical principal direction. Examples of these type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space ${\mathbb{E}}^3$ is the catenoid.Comment: 13 Latex page

Managing software development information in global configuration management activities

Software Configuration Management (SCM) techniques have been considered the entry point to rigorous software engineering, where multiple organizations cooperate in a decentralized mode to save resources, ensure the quality of the diversity of software products, and manage corporate information to get a better return of investment. The incessant trend of Global Software Development (GSD) and the complexity of implementing a correct SCM solution grow not only because of the changing circumstances, but also because of the interactions and the forces related to GSD activities. This paper addresses the role SCM plays in the development of commercial products and systems, and introduces a SCM reference model to describe the relationships between the different technical, organizational, and product concerns any software development company should support in the global market

Pathophysiologic risk stratification of chronic heart failure: coexisting left atrial and right ventricular damage and the role of pulmonary circulation

Abstract Funding Acknowledgements Type of funding sources: None. Background in heart failure with reduced ejection fraction (HFrEF) the chronic increase of filling pressures progressively involves left atrium (LA), pulmonary circulation (PC) and right ventricle (RV), leading to worse outcome. Purpose we investigated the prognostic impact of either isolate LA impairment, RV dysfunction combined with pulmonary hypertension, or both, in HFrEF, using basic and advanced echocardiography. Methods 106 outpatients with HFrEF were enrolled. Exclusion criteria were primary lung disease, non-sinus rhythm, previous cardiac surgery, poor acoustic window. Clinical examination and basic echocardiography were performed. Speckle tracking analysis was used to measure peak atrial longitudinal strain (PALS) and a new marker of interaction between RV and PC: absolute free wall RV longitudinal strain(fwRVLS)/systolic pulmonary artery pressure(sPAP). Patients were followed for all-cause or cardiovascular death and heart failure (HF) hospitalization. Results of 84 eligible patients [mean age: 60.1 ± 11.5; 82% male, mean left ventricular ejection fraction (LV EF) 28 ± 5%], 48 reached the combined endpoint. Population was divided into 3 groups: Group 1 [PALS≥15 and fwRVLS/sPAP ≤ 0.5]; Group 2 [PALS ≤ 15 and fwRVLS/sPAP ≤ 0.5 or PALS≥15 and fwRVLS/sPAP≥0.5]; Group 3 [PALS ≤ 15 and fwRVLS/sPAP≥0.5]. Mean follow-up was 3.5 ± 0.3years. The increasing severity groups were associated with higher LA volume index (LAVI), New York Heart Association (NYHA) class, mitral regurgitation (MR) and tricuspid regurgitation (TR) grades, lower LV EF, LV global longitudinal strain (GLS), PALS, tricuspid annular plane systolic excursion (TAPSE), sPAP, fwRVLS and global RVLS(p < 0.0001). Reduced PALS and fwRVLS/sPAP were independent predictors of NYHA > 2 at univariate and multivariate analysis adjusted for age, sex, LV EF, and of any events with adjusted Cox models (Table 1). Kaplan-Meier curves showed a clear divergence between the groups for the prediction of the combined endpoint (Fig.1), cardiovascular death and HF hospitalization. Conclusions the combination of LA and RV damage could represent the transition point to end-stage HF, with considerably worse prognosis. Its assessment with PALS and fwRVLS/sPAP could help risk stratification of HFrEF patients in order to provide early treatment. Table 1 Unadjusted hazard ratio [95% CI] Adjusted for GLS hazard ratio [95% CI] Adjusted for GLS, LAVi, TR, RVFAC hazard ratio [95% CI] Group 3 vs 1 10.61 [4.16-27.06], p < 0.0001 10.24 [3.49-30.02], p < 0.0001 9.54 [2.95-30.92], p = 0.0002 Group 3 vs 2 3.90 [1.92-7.93], p = 0.0002 3.82 [1.74-8.36], p = 0.0008 3.78 [1.66-8.61], p = 0.002 Group 2 vs 1 2.72 [1.03-7.20], p = 0.04 2.69 [0.99-7.25], p = 0.05 2.53 [0.84-7.58], p = 0.1 CI, confidence interval; EF, ejection fraction; GLS, global longitudinal strain;LAVI, left atrial volume index; MR, mitral regurgitation, TR, tricuspid regurgitation Abstract Figure. Fig.

CMC hypersurfaces with canonical principal direction in space forms

A hypersurface $M \subset \overline{M}$ of the space form $\overline{M}$ has a canonical principal direction (CPD) relative to the closed and conformal vector field $Z$ of $\overline{M}$ if the projection $Z^{\top}$ of $Z$ to $M$ is a principal direction of $M$. We show that CPD hypersurfaces with constant mean curvature are foliated by isoparametric hypersurfaces. In particular, we show that a CPD surface with constant mean curvature of space form M is invariant by the flow of a Killing vector field whose action is polar on M. As consequence we show that a compact CPD minimal surface of the sphere S^3 is a Clifford torus. Finally, we consider the case when a CPD Euclidean hypersurface has zero Gauss-Kronecker curvature