Invariant higher-order variational problems II

Motivated by applications in computational anatomy, we consider a second-order problem in the calculus of variations on object manifolds that are acted upon by Lie groups of smooth invertible transformations. This problem leads to solution curves known as Riemannian cubics on object manifolds that are endowed with normal metrics. The prime examples of such object manifolds are the symmetric spaces. We characterize the class of cubics on object manifolds that can be lifted horizontally to cubics on the group of transformations. Conversely, we show that certain types of non-horizontal geodesics on the group of transformations project to cubics. Finally, we apply second-order Lagrange--Poincar\'e reduction to the problem of Riemannian cubics on the group of transformations. This leads to a reduced form of the equations that reveals the obstruction for the projection of a cubic on a transformation group to again be a cubic on its object manifold.Comment: 40 pages, 1 figure. First version -- comments welcome

The Importance of Context in Managerial Work: The Case of Senior Hotel Managers in Greece

Qualitative research on the interplay between context and hospitality managerial work has not been previously addressed in the literature. Based on the works of Johns (2006) and Dierdorff et al. (2009), this research suggests that luxury senior hotel managers (GMs and department managers) are to a certain degree recipients of contextual/cultural influences, depending on the ownership status of the hotel. It is also argued that managerial work is shaped and exercised by a set of moderating factors, which are unique for each individual. Overall, the aim of this research is to increase the level of awareness and trigger further research in this topic area. © 2014 Copyright © Taylor & Francis Group, LLC

On the flow birefringence of polypropylene in solution

The flow birefringence of solutions of two samples of polypropylene is investigated. Trans-decalin is chosen as a solvent. The measuring temperature is 150 °C. The viscometric molecular weight of the samples is nearly the same, whereas the breadth of the molecular weight distribution is very different. The value of the apparent coil expansion, as calculated from flow birefringence data, is in particular very sensitive to the shape of the distribution function in the high molecular weight region. Conclusions are drawn as to the difference in skewness of the distributions of the two samples investigated. © 1966 Dr. Dietrich Steinkopff Verlag

Varifold-based matching of curves via sobolev-type riemannian metrics

https://arxiv.org/abs/1706.01821v