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Showing 1 to 14 of 14 for “"Contact structure"”.
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Legendrian intersections in twisted 1-jet bundles
… cotangent bundles with their standard symplectic structure has long been settled, as has its contact analog for Legendrian intersections in the setting of 1-jet bundles with their standard contact structure. This latter result was due originally to Chekanov, and was later refined by Bhupal. More …
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Survey of Generalized Contact Structures
A generalized complex structure, as introduced by N. Hitchin, is a common generalization of both symplectic and complex structures. Generalized complex geometry provides a natural geometric framework to understand certain recent developments in string physics, and has developed into an active area …
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Group Actions on Contact Manifolds and Reduction
… propose a new method for reducing a co-oriented contact manifold M by the action of a Lie group G by contactomorphisms. With a regularity and integrality assumption on mu ∈ g* the contact quotient Mmu, is naturally a co-oriented contact manifold which is independent of the choice of contact …
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Dynamical and Riemannian properties of Engel structures
… stable in the sense of Cartan are line fields, contact structures, even contact structures and Engel structures. This thesis studies various aspects of the theory of Engel structures, i.e. maximally non-integrable smooth 2-plane fields on smooth 4-manifolds. First of all we analyze the interplay …
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An electrothermally-actuated bistable MEMS relay for power applications
… with transient electrothermal actuation and contact structure to develop a MEMS relay for power switching. The relay components, fabricated by a through etch of a silicon wafer using deep reactive ion etch (DRIE), move laterally in the plane of the wafer. The synthesis, analysis, design, …
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Orderability and rigidity in contact geometry
<p>We study the existence of positive loops of contactomorphisms on a Liouville-fillable contact manifold (&Sgr;, ξ = ker(α)). Previous results (see [1]) show that a large class of Liouville-fillable contact manifolds admit contractible positive loops. In contrast, we show that for any …
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Circle-Valued Generating Family Invariants
… condition. This condition, imposed by a contact structure, makes it possible for certain knots to be topologically equivalent without being Legendrian equivalent. In recent years, real-valued generating families and Morse theory have been used to define new invariants for Legendrian knots …
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Correlating Structural and Opto-electrical Properties of Perovskite Solar Cells
… perovskite solar cells with a novel back-contact structure, in which electron- and hole-selective electrodes are co-positioned on the back side of the cell and spaced by 100 μm. By utilising grazing-incidence X-ray diffraction, we show that even in the earliest stages of conversion of …
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Modeling the potential impact of HIV on the spread of tuberculosis in the United States
… population is found to be dependent on the contact structure between the general population and the HIV risk groups as well as a possible shift in the dynamics associated with TB transmission. The development of a TB epidemic within the HIV risk groups is also considered.
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Supersymmetric backgrounds of M-theory and AdS4/CFT3 correspondence
… can be phrased in terms of a local SU(2)-structure on Y7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric …
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Evolutionary models in structured populations
… In this work, the influence of the population structure on the outcome of the evolutionary process is explored. Through an analytic approach, this study first examines the stochastic evolutionary game dynamics following the update rules of the invasion process, an adaptation of the Moran …
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Spatial spread of farm animal diseases
… to include all cattle by the beginning of 2001. Contact networks have proved valuable in studying the epidemiology of diseases in man, such as human immunodeficiency virus; the availability of CTS cattle movement data has enabled contact network analysis to be applied to diseases of farm …
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Modelling the Epidemiological Dynamics of Seasonal Influenza Viruses at Local Scales
… by the topology of cross-immunity and host contact structure within a population. In Chapter 5, I investigate the effects of correlations between network structure and individual susceptibility. In Chapter 6, I examine the population-level significance of age-specific changes to an …