Boundary Rigidity Research Articles

Boundary Permeability as a Cultural Dimension: A Study of Cross Cultural Working Relations between Americans and Israelis in High-tech Organizations

Interviews conducted with American and Israeli managers and engineers who work together in the Silicon Valley, California, revealed that many of the cultural differences and difficulties encountered in cross cultural working relationships between members of the two cultures represent a single theme. The Americans were perceived and described as more compartmentalized and bounded in many respects, while the Israelis were perceived and described as more unbounded and as tending to disregard or cross boundaries. This theme repeated itself with regard to several types of boundaries: expressive boundaries, bureaucratic boundaries, temporal boundaries, and boundaries between work and non-work activities and relationships. These differences affected the quality of communication and the level of trust and cooperation between members of the two groups. Following these findings, and the observation that many of the cultural dimensions commonly used by social scientists can be conceived of in terms of differences in boundary permeability, we propose that cultures may differ on a meta-dimension of boundary rigidity versus permeability, and that such differences are consequential for cross cultural relations in organizations.

On Deformation Boundary Rigidity and Spectral Rigidity of Riemannian Surfaces with No Focal Points

We prove that a compact two-dimensional Riemannian manifold with strictly convex boundary and with no focal points is deformation boundary rigid. We also show, using similar methods, that two-dimensional Anosov manifolds with no focal points are spectrally rigid.

Local boundary rigidity of a compact Riemannian manifold with curvature bounded above

This paper considers the boundary rigidity problem for a compact convex Riemannian manifold ( M , g ) (M,g) with boundary ∂ M \partial M whose curvature satisfies a general upper bound condition. This includes all nonpositively curved manifolds and all sufficiently small convex domains on any given Riemannian manifold. It is shown that in the space of metrics g ′ g’ on M M there is a C 3 , α C^{3,\alpha } -neighborhood of g g such that g g is the unique metric with the given boundary distance-function (i.e. the function that assigns to any pair of boundary points their distance — as measured in M M ). More precisely, given any metric g ′ g’ in this neighborhood with the same boundary distance function there is diffeomorphism φ \varphi which is the identity on ∂ M \partial M such that g ′ = φ ∗ g g’=\varphi ^{*}g . There is also a sharp volume comparison result for metrics in this neighborhood in terms of the boundary distance-function.

On the boundary rigidity phenomenon for automorphisms of domains in ℂⁿ

We prove that a piecewise smoothly bounded strictly pseudoconvex domain with a non–compact automorphism group is biholomorphic to the ball. A boundary version of the Schwarz lemma for automorphisms of such a domain is settled.

A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains

AbstractIn this paper, we study the boundary version of the classical Cartan theorem. We show that for some weakly pseudoconvex domains, when a holomorphic self-mapping has a sufficiently high order of contact (which depends only on the geometric properties of the domains) with the identical map at some boundary point, then it must coincide with the identity.

Women and eating disorders, Part II: Developmental, familial, and biological risk factors.

The problem of eating disorders in women is a topic of concern for health care providers today. The focus of this article is on the developmental, familial, and biological factors that may put young women at risk. Identity, body image, autonomy, and separation-individuation are the developmental issues explored. Particular family characteristics such as enmeshment, cohesiveness, overprotectiveness, and boundary rigidity are presented as risk factors as well. The biological predisposition to obesity and the possibility of a predisposition to an affective disorder are considered. The role of the health professional with respect to prevention by intervening in risk factor development is discussed with an emphasis on the education and guidance of parents throughout the life cycle.

On the excitation, detection and damping of core modes

We continue work on the possibility that internal oscillations in the Earth's core might be detectable by a gravity meter at the surface. As a possible excitation mechanism we use earthquakes and for the damping we consider the contribution of anelasticity in both solid and liquid parts of the Earth. The calculation of the eigenfunctions is restricted in this paper to a non-rotating Earth model. We first review the spectrum of modes for degrees l up to 20 using a stably stratified fluid core based on the Preliminary Reference Earth Model (PREM) and compute the earthquake excitation and Q values using standard seismic theory. We then show that the effects of boundary rigidity and both Boussinesq and subseismic approximations in the core have little effect on the eigenfrequencies of the core modes. The rigid boundary core solutions are then extended into both the mantle and inner core by making use of a generalised internal load Love number approach. This method yields good approximations to the elastic eigenfunctions throughout the Earth, the agreement with full theory improving as the degree l increases. Thus we have confidence that this method can be extended successfully to models with rotation.

Simple core undertones

Summary. If undertones (internal gravity waves in the Earth's liquid outer core) exist then they occur at such long periods that the full theory of Earth dynamics in a rotating reference frame is required for their description. This theory has been so cumbersome to implement that very severe truncation of the traditional vector spherical harmonic expansions has been required, with the consequence that the results obtained have been noted less for their physical significance than for their technical achievement. By considering simplified models of the Earth's core it is first demonstrated that, at least for the case of a non-rotating Earth, the effects of mantle structure and boundary rigidity on the undertone periods are minimal. Further, the combined effects of core compressibility and self-gravitation in a real Earth model can to a good approximation be replaced by a single parameter, the Brunt–Vaisala buoyancy frequency, in a simple incompressible fluid model. On applying these simplifications to a rotating Earth model, the resulting equations of motion are then solved with a longer coupling chain than any used previously. This approach, based on the chain beginning with the spheroidal term S22, supports the hypothesis that the periods of the core undertones for a realistic rotating Earth model are crowded into a narrow band around 12 hr.

Creep Kinematics of Cross‐tie Domain Walls

AbstractDomain‐wall creep was studied by the powder pattern method. To increase the resolution of the boundary pictures, microphotometry of the photographs was made. The centre of the boundary on the film was determined to an accuracy of ± 0.05 μm. The direct observation of elementary acts of creep enables to substantiate and refine the kinematic creep model – the model of varying boundary curvature. The curvature variation is due to the variation in the boundary rigidity as a result of the induction of magnetostatic “charges”.

A new boundary rigidity theorem for holomorphic self-mappings of the unit ball in $\mathbb{C}^n$

A new boundary rigidity theorem for holomorphic self-mappings of the unit ball in $\mathbb{C}^n$