ENERGY AND VOLUME OF VECTOR FIELDS ON SPHERICAL DOMAINS

We present a "boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of an odd-dimensional Euclidean sphere.

Evolution of Sets Systems and Homotopy Groups of Spheres

Симеон Т. Стефанов, Велика И. Драгиева - В работата е изследвана еволюцията на системи от множества върху n-мерната евклидова сфера S^n. Установена е връзката на такива системи с хомотопичните групи на сферите. Получени са някои комбинаторни приложения за многостени.

Rank and k-nullity of contact manifolds

We prove that the dimension of the 1-nullity distribution N(1) on a closed Sasakian manifold M of rankl is at least equal to 2l−1 provided that M has an isolated closed characteristic. The result is then used to provide some examples of k-contact manifolds which are not Sasakian. On a closed, 2n+1-dimensional Sasakian manifold of positive bisectional curvature, we show that either the dimension of N(1) is less than or equal to n+1 or N(1) is the entire tangent bundle TM. In the latter case, the Sasakian manifold Mis isometric to a quotient of the Euclidean sphere under a finite group of isometries. We also point out some interactions between k-nullity, Weinstein conjecture, and minimal unit vector fields.

The Herglotz variational problem on spheres and its optimal control approach

The main goal of this paper is to extend the generalized variational problem of Herglotz type to the more general context of the Euclidean sphere S^n. Motivated by classical results on Euclidean spaces, we derive the generalized Euler-Lagrange equation for the corresponding variational problem defined on the Riemannian manifold S^n. Moreover, the problem is formulated from an optimal control point of view and it is proved that the Euler-Lagrange equation can be obtained from the Hamiltonian equations. It is also highlighted the geodesic problem on spheres as a particular case of the generalized Herglotz problem.

End point estimates for Radon transform of radial functions on non-Euclidean spaces

We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space. We also discuss analogs of these results on the sphere.

Construction of Hamiltonian-Minimal Lagrangian submanifolds in Complex Euclidean Space

We describe several families of Lagrangian submanifolds in complex Euclidean space which are H-minimal, i.e. critical points of the volume functional restricted to Hamiltonian variations. We make use of various constructions involving planar, spherical and hyperbolic curves, as well as Legendrian submanifolds of the odd-dimensional unit sphere.

Euclidean 4d exact solitons in a Skyrme type model

We introduce a Skyrme type, four-dimensional Euclidean field theory made of a triplet of scalar fields n→, taking values on the sphere S2, and an additional real scalar field φ, which is dynamical only on a three-dimensional surface embedded in R4. Using a special ansatz we reduce the 4d non-linear equations of motion into linear ordinary differential equations, which lead to the construction of an infinite number of exact soliton solutions with vanishing Euclidean action. The theory possesses a mass scale which fixes the size of the solitons in way which differs from Derrick's scaling arguments. The model may be relevant to the study of the low energy limit of pure SU(2) Yang-Mills theory. © 2004 Elsevier B.V. All rights reserved.

Waking up with friends : breakfast news, Sunrise and the "televisual sphere"

This paper examines the Australian breakfast news program Sunrise. By drawing on interviews with both viewers and producers, as well as selected textual analysis, it examines the show, how it is "used" as a news source, and explores its role within the audience’s morning routines. By viewing the show as a part of what Baym has termed the "Televisual Sphere", it will argue against the common discourse that the program has simply followed a populist style in pursuit of higher ratings. Because of its success in communicating and connecting with viewers, it may be more constructive to consider Sunrise a very effective form of journalism which has been at the forefront of the recent trend towards increased levels of viewer input in television journalism.

Sensing and control on the sphere

The advantages of a spherical imaging model are increasingly well recognized within the robotics community. Perhaps less well known is the use of the sphere for attitude estimation, control and scene structure estimation. This paper proposes the sphere as a unifying concept, not just for cameras, but for sensor fusion, estimation and control. We review and summarize relevant work in these areas and illustrate this with relevant simulation examples for spherical visual servoing and scene structure estimation.

Mapping the Australian networked public sphere

This article reports on a research program that has developed new methodologies for mapping the Australian blogosphere and tracking how information is disseminated across it. The authors improve on conventional web crawling methodologies in a number of significant ways: First, the authors track blogging activity as it occurs, by scraping new blog posts when such posts are announced through Really Simple Syndication (RSS) feeds. Second, the authors use custom-made tools that distinguish between the different types of content and thus allow us to analyze only the salient discursive content provided by bloggers. Finally, the authors are able to examine these better quality data using both link network mapping and textual analysis tools, to produce both cumulative longer term maps of interlinkages and themes, and specific shorter term snapshots of current activity that indicate current clusters of heavy interlinkage and highlight their key themes. In this article, the authors discuss findings from a yearlong observation of the Australian political blogosphere, suggesting that Australian political bloggers consistently address current affairs, but interpret them differently from mainstream news outlets. The article also discusses the next stage of the project, which extends this approach to an examination of other social networks used by Australians, including Twitter, YouTube, and Flickr. This adaptation of our methodology moves away from narrow models of political communication, and toward an investigation of everyday and popular communication, providing a more inclusive and detailed picture of the Australian networked public sphere.

The effect of temperature dependent viscosity on MHD natural convection flow from an isothermal sphere

Laminar magnetohydrodynamic (MHD) natural convection flow from an isothermal sphere immersed in a fluid with viscosity proportional to linear function of temperature has been studied. The governing boundary layer equations are transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are reduced to convenient form which are solved numerically by two very efficient methods, namely, (i) Implicit finite difference method together with Keller box scheme and (ii) Direct numerical scheme. Numerical results are presented by velocity and temperature distribution, streamlines and isotherms of the fluid as well as heat transfer characteristics, namely the local skin-friction coefficients and the local heat transfer rate for a wide range of magnetohydrodynamic paramagnet and viscosity-variation parameter.

'The war of Canudos: a Euclidean interpretation.' [Guerra de Canudos: uma leitura euclidiana]

The publication of the book The interior, in 1902, would change the course of thinking about the War of Canudos, who for many years, had been known simply as' the history of Euclid. President Getulio Vargas became interested in the backwoods bloodbath after reading the book avenger-Euclidean. Liked the work he visited the place of occurrence of war promising enjoy the river poured-Barris with the construction of the weir Cocorobo. Euclides da Cunha lived and produced his work in a time of great change in thought, politics and technology. Despite having worked in the press throughout his life, was best known as an engineer, for having exercised the office during the reconstruction of the bridge, in Sao Jose do Rio Pardo. This article aims to illuminate the event of war in light of the Euclidean work. We will examine the trajectory of Euclides da Cunha in journalism. Your learning process to execute the office newsreader and war correspondent, the newspaper O Estado de S. Paul, as well as their reports and work-monument the hinterlands. Resumo: A publicação da obra Os sertões, em 1902, mudaria os rumos do pensamento sobre a Guerra de Canudos, que, por muitos anos, ficara conhecida, simplesmente, como ‘história de Euclides’. O presidente Getúlio Vargas interessou-se pela hecatombe sertaneja após ter lido o livro-vingador euclidiano. Gostou tanto da obra que visitou o lugar de acontecimento da guerra prometendo aproveitar as águas do rio Vaza-Barris com a construção do açude de Cocorobó. Euclides da Cunha viveu e produziu a sua obra em um momento de grandes transformações no pensamento, na política e na tecnologia. Apesar de ter atuado na imprensa ao longo de toda a sua vida, ficou mais conhecido como engenheiro, por ter exercido o ofício, durante a reconstrução da ponte, em São José do Rio Pardo. O presente artigo visa iluminar o acontecimento da guerra à luz da obra euclidiana. Examinaremos a trajetória de Euclides da Cunha no jornalismo. O seu processo de aprendizagem para exercer o ofício de noticiarista e correspondente de guerra, pelo jornal O Estado de S. Paulo, bem como, as suas reportagens e obra-monumento Os sertões.

Using digital storytelling as a change agent for women’s participation in the Turkish public sphere

This thesis builds on the scholarship and practical know-how that have emerged from digital storytelling projects around the world with diverse groups of participants in a range of institutions. I have used the results of these projects to explore the opportunities Digital Storytelling workshop practice may hold for women’s participation in the public sphere in Turkey. Through theoretical discussion and practical experimentation, I examine the potential of Digital Storytelling workshop practice as a means to promote agency and self-expression in a feminist activist organisation, focusing in particular on whether Digital Storytelling can be used as a change agent – as a tool for challenging the idea of public sphere in ways that make it more inclusive of women’s participation. The thesis engages with feminist scholarship’s critiques of the public/private dichotomy, as well as the concept of gender, to seek connections with narrative identity in the light of the analysis of the Digital Storytelling workshops and the digital stories that were created in a feminist context. The study on which this thesis is based saw the introduction of Digital Storytelling to Turkey for the first time through workshops in Istanbul and Antakya, conducted in partnership with the feminist activist organisation Amargi Women’s Academy. Applying the principles of feminist post-structuralist discourse analysis as used by Judith Baxter (2003), I examine two sets of data collected in this project. First, I analyse the interactions during the Digital Storytelling workshops, where women from Amargi created their digital stories in a collaborative setting. This is done through participatory observation notes and in-depth interviews with the workshop participants and facilitators. Second, I seek to uncover the strategies that these women used to ‘speak back to power’ in their digital stories, reading these as texts. I conclude that women from the Amargi network used the workshops to create digital content in order to communicate their concerns about issues that can be classified as gender-specific matters. During this process, they also cooperated, established new connections, and at the end of the process even defined new ways of using, circulating and repurposing their digital stories for feminist activism in Turkey. My research thereby contributes equally to feminist discourse analysis, the study of new-media usage and uptake among non-professionals, and the study of media–public sphere interactions in a particular national setting: Turkey. My conclusion indicates that the process of production is as important as the product itself, and from that I am able to draw out some strategies for developing digitally equipped women’s activism in Turkey.