scholarly journals On some flat connection associated with locally symmetric surface

2014 ◽  
Vol 13 (1) ◽  
pp. 19-43
Author(s):  
Maria Robaszewska
Keyword(s):  
Linear Connection ◽  
Gauss Curvature ◽  
Structural Equations ◽  
Connection Form ◽  
Dimensional Manifold ◽  
Flat Connection ◽  
Parallel Volume ◽  
Symmetric Surface ◽  
Principal Fibre Bundle ◽  
Local Connection

Abstract For every two-dimensional manifold M with locally symmetric linear connection ∇, endowed also with ∇-parallel volume element, we construct a flat connection on some principal fibre bundle P(M,G). Associated with - satisfying some particular conditions - local basis of TM local connection form of such a connection is an R(G)-valued 1-form build from the dual basis ω1, ω2 and from the local connection form ω of ▽. The structural equations of (M,∇) are equivalent to the condition dΩ-Ω∧Ω=0. This work was intended as an attempt to describe in a unified way the construction of similar 1-forms known for constant Gauss curvature surfaces, in particular of that given by R. Sasaki for pseudospherical surfaces.

scholarly journals Affine analogues of the Sasaki-Shchepetilov connection

2016 ◽  
Vol 15 (1) ◽  
pp. 37-49
Author(s):  
Maria Robaszewska
Keyword(s):  
Volume Element ◽  
Dimensional Manifold ◽  
Two Dimensional ◽  
Higher Dimension ◽  
Flat Connection ◽  
Trivial Bundle ◽  
Flat Connections ◽  
Parallel Volume ◽  
Symmetric Connection ◽  
Affine Embedding

AbstractFor two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM ⊕ E, where E is a trivial bundle. The metrizable case, when M is a Riemannian manifold of constant curvature, together with its higher dimension generalizations, was studied by A.V. Shchepetilov [J. Phys. A: 36 (2003), 3893-3898]. This paper deals with the case of non-metrizable locally symmetric connection. Two flat connections on TM ⊕ (ℝ × M) and two on TM ⊕ (ℝ2 × M) are constructed. It is shown that two of those connections – one from each pair – may be identified with the standard flat connection in ℝN, after suitable local affine embedding of (M,∇) into ℝN.

scholarly journals Geometrical Models of Elementary Particles

1995 ◽  
Vol 48 (6) ◽  
pp. 1045 ◽  
Author(s):  
PK Smrz
Keyword(s):  
Quantum Theory ◽  
Complex Plane ◽  
Fibre Bundle ◽  
Linear Connection ◽  
Elementary Particles ◽  
De Sitter ◽  
Base Manifold ◽  
Principal Fibre ◽  
Principal Fibre Bundle ◽  
Torsion Free

A new concept of space and time, constructed from a de Sitter structured principal fibre bundle with a connection, is used to discuss a geometrical interpretation for the complex plane of the quantum theory and quantum behaviour of particles. In particular some features of a theory based on a torsion free metric linear connection in a five-dimensional base manifold are described.

Tuning the pore structures and photocatalytic properties of a 2D covalent organic framework with multi-branched photoactive moieties

Nanoscale ◽  
2020 ◽  
Vol 12 (30) ◽  
pp. 16136-16142
Author(s):  
Xuan Wang ◽  
Ming-Jie Dong ◽  
Chuan-De Wu
Keyword(s):  
Photocatalytic Properties ◽  
Effective Strategy ◽  
Covalent Organic Framework ◽  
Highly Efficient ◽  
Pore Structures ◽  
Local Connection ◽  
Organic Framework

An effective strategy to incorporate accessible metalloporphyrin photoactive sites into 2D COFs by establishing a 3D local connection for highly efficient photocatalysis was developed.

Challenge Demands, Hindrance Demands, and Psychological Need Satisfaction

2015 ◽  
Vol 14 (2) ◽  
pp. 70-79 ◽  
Author(s):  
Simon L. Albrecht
Keyword(s):  
Work Engagement ◽  
Job Demands ◽  
Self Determination Theory ◽  
Structural Equations ◽  
Need Satisfaction ◽  
Self Determination ◽  
Job Resources ◽  
Mediating Effects ◽  
Psychological Need ◽  
Practical Implications

The job demands-resources (JD-R) model provides a well-validated account of how job resources and job demands influence work engagement, burnout, and their constituent dimensions. The present study aimed to extend previous research by including challenge demands not widely examined in the context of the JD-R. Furthermore, and extending self-determination theory, the research also aimed to investigate the potential mediating effects that employees’ need satisfaction as regards their need for autonomy, need for belongingness, need for competence, and need for achievement, as components of a higher order needs construct, may have on the relationships between job demands and engagement. Structural equations modeling across two independent samples generally supported the proposed relationships. Further research opportunities, practical implications, and study limitations are discussed.

Structuring Structural Equations Modeling

2003 ◽  
Vol 48 (5) ◽  
pp. 680-683 ◽  
Author(s):  
Alexander von Eye
Keyword(s):  
Structural Equations ◽  
Structural Equations Modeling

Corporate governance and business ethics: Evidence from a sample of Algerian corporations

2020 ◽  
Vol 4 (1) ◽  
pp. 15-29
Author(s):  
Nour El Houda Yahiaoui ◽  
Abdelmadjid Ezzine
Keyword(s):  
Corporate Governance ◽  
Business Ethics ◽  
Structural Model ◽  
Structural Equations ◽  
Path Modeling ◽  
Senior Managers ◽  
Corporate Scandals ◽  
Governance Systems ◽  
Sustainable Value ◽  
Governance Practices

Corporate governance systems are developed to govern corporations, build trust and create sustainable value for all stakeholders. Paradoxically, in spite of massive efforts in developing governance systems, corporate scandals are persisting. Different studies have strongly recommended business ethics as a solution to this paradox. Thus, this study explores if business ethics supports corporate governance practices in a sample of Algerian corporations. The study used a mixed methodology; qualitative: since this subject is poorly addressed in the Algerian context that requires an exploratory study. Quantitative by developing a structural model demonstrating the relationship between business ethics and corporate governance, Data for the study were collected by means of a questionnaire distributed on an anonymous basis to corporations’ senior managers in Sidi Bel Abbes district. Treatment of collected data is done using two types of analysis: the structural equations modeling approach by using the PLS Path approach (PLS Path Modeling) and linear regression. The study finds out that business ethics leads to better levels of corporate governance and supports its practices; and the reason is mainly due to an implicit involuntary commitment to laws as a minimum required level of compliance, and that the protection of stakeholders’ rights are the most important corporate governance’s dimension affected by business ethics.

Best Matching: Technical Details

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Point Particle ◽  
Euclidean Group ◽  
Scale Invariant ◽  
Similarity Group ◽  
N Body Problem ◽  
Technical Details ◽  
Matching Procedure ◽  
Principal Fibre ◽  
Principal Fibre Bundle ◽  
Gauge Connection

The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The chapter concludes with the relational reformulation of the Newtonian N-body problem (and its scale-invariant variant).

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