The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure

We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized. Certain curvature properties of this connection are found.Comment: Presented at XVII Geometrical Seminar, Zlatibor 2012, Serbi

On the Impact of Heterogeneity on Indeterminacy

Some recent research indicates that the occurrence of indeterminacy in mod- els with externalities may be overstated because these models ignore agents’ heterogene- ity. We consider a neoclassical two-sector growth model with technological externalities. Agents are heterogenous in respect to their shares of the initial stock of capital and in labor endowments. We find that the sign of the effect of inequality on indeterminacy is not pinned down by the standard properties of preferences. However, when the in- verse of absolute risk aversion is a convex (respectively concave) function homogeneity (heterogeneity) tends to neutralize the external effects and eliminate indeterminacy.endogenous growth, heterogeneity, indeterminacy, inequalities, income distribution.

The impact of heterogeneity on indeterminacy

The aim of the paper is to explore the link between agent's heterogeneity and indeterminacy in a general equilibrium economy. The framework is provided by the two-sector growth model with technological externalities of Boldrin and Rustichini (1994) in which heterogeneous agents are introduced. We first show that the occurrence of indeterminacy depends on the distribution in labor endowments and in shares on initial capital among the agents as well as on preferences and technology. We find that the sign of the effect of heterogeneity on indeterminacy is not pinned down by the standard properties of preferences, a fact that might be surprising in view of some recent results (as in Herrendorf et al. (2000)). However, when risk aversion is a concave or a slightly convex function, the heterogeneity is a factor that opposes the external effects in generating indeterminacy.Endogenous growth; Heterogeneity; Indeterminacy; Inequalities

The odd-dimensional Goldberg Conjecture

An odd-dimensional version of the Goldberg conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones. We provide here another proof of this result and give some applications.Comment: An application to the main result adde

Nonlinear Absorption And Free Carrier Recombination In Direct Gap Semiconductors

Nonlinear absorption of Indium Antimonide (InSb) has been studied for many years, yet due to the complexity of absorption mechanisms and experimental difficulties in the infrared, this is still a subject of research. Although measurements have been made in the past, a consistent model that worked for both picosecond and nanosecond pulse widths had not been demonstrated. In this project, temperature dependent two-photon (2PA) and free carrier absorption (FCA) spectra of InSb are measured using femtosecond, picosecond, and nanosecond IR sources. The 2PA spectrum is measured at room temperature with femtosecond pulses, and the temperature dependence of 2PA and FCA is measured at 10.6µm using a nanosecond CO2 laser giving results consistent with the temperature dependent measurements at several wavelengths made with a tunable picosecond system. Measurements over this substantial range of pulse widths give results for FCA and 2PA consistent with a recent theoretical model for FCA. While the FCA cross section has been generally accepted in the past to be a constant for the temperatures and wavelengths used in this study, this model predicts that it varies significantly with temperature as well as wavelength. Additionally, the results for 2PA are consistent with the band gap scaling (Eg-3 ) predicted by a simple two parabolic band model. Using nanosecond pulses from a CO2 laser enables the recombination rates to be determined through nonlinear transmittance measurements. Three-photon absorption is also observed in InSb for photon energies below the 2PA band edge. Prior to this work, data on three-photon absorption (3PA) in semiconductors was scarce and most experiments were performed over narrow spectral ranges, v making comparison to the available theoretical models difficult. There was also disagreement between the theoretical results generated by different models, primarily in the spectral behavior. Therefore, we studied the band gap scaling and spectra of 3PA in several semiconductors by the Z-scan technique. The 3PA coefficient is found to vary as (Eg-7 ), as predicted by the scaling rules of simple two parabolic band models. The spectral behavior, which is considerably more complex than for 2PA, is found to agree well with a recently published theory based on a fourband model

Big Data-driven Value Creation for Organizations

The past few years have been characterized by an enormous increase in data coming from different sources in real time and in many diverse forms. The term commonly used for such data is Big Data (BD). Much of this BD has a high business value and, if properly utilized, can become an important organizational asset helping the organization to achieve competitive advantage. However, many organizations make a limited use of BD because they lack necessary tools and/or do not understand the value of this data. The main contribution of this study is to investigate an issue of Big Data and elements shaping creation of BD-based business value. In particular, the outcome of this research is to build and verify a framework to provide business value based on BD. The proposed framework is distinguished by three components: (1) dynamic capabilities of organizations, (2) integrated process of BD resource exploration and exploitation, and (3) identification and measurement of business value creation based on BD

Disruptive Technologies as a Driver to Organizational Success. Organizational Culture Perspective

There is a lot of evidence in the research literature that Information Technologies can play a crucial role in achieving competitive advantage, improving decision-making, and achieving organizational success. Unfortunately, research on exploring the issues of using Disruptive Technologies (DT) is still limited, especially studies into the relationship between the use of DT and organizational success. The main contribution of this study is to investigate the issue of DT's impact on organizational success, in particular identifying the benefits of using DT in organizations, as well as examining to what extent organizational culture can be a factor in enhancing organizational success. The study presents the results of research on the use of Disruptive Technologies carried out in 194 organizations, especially in the areas of DT usage and the benefits that organizations achieve from adopting them, as well as the impact of organizational culture on organizational success

The Impact of Online Data Collection on Consumer Autonomy

Recent advancements in the field of Big Data are facilitating various business intelligence activities for businesses. However, we contend that online data collection can generate tensions for consumers. The Big Data collection can compromise consumers\u27 sense of autonomy, the lack of which can be harmful to consumer privacy, data security, data confidentiality, and data ownership. This study presents preliminary results on the relationship between online data collection and online consumer autonomy in Australia. This study identifies open research questions for future research

Dashboard Framework. A Tool for Threat Monitoring on the Example of Covid-19

The aim of the study is to create a dashboard framework to monitor the spread of the Covid-19 pandemic based on quantitative and qualitative data processing. The theoretical part propounds the basic assumptions underlying the concept of the dashboard framework. The paper presents the most important functions of the dashboard framework and examples of its adoption. The limitations related to the dashboard framework development are also indicated. As part of empirical research, an original model of the Dash-Cov framework was designed, enabling the acquisition and processing of quantitative and qualitative data on the spread of the SARS-CoV-2 virus. The developed model was pre-validated. Over 25,000 records and around 100,000 tweets were analyzed. The adopted research methods included statistical analysis and text analysis methods, in particular the sentiment analysis and the topic modeling