1,029 research outputs found

    Half-space theorems for minimal surfaces in Nil_3 and Sol_3

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    We prove some half-space theorems for minimal surfaces in the Heisenberg group Nil_3 and the Lie group Sol_3 endowed with their left-invariant Riemannian metrics. If S is a properly immersed minimal surface in Nil_3 that lies on one side of some entire minimal graph G, then S is the image of G by a vertical translation. If S is a properly immersed minimal surface in Sol_3 that lies on one side of a special plane, then S is another special plane.Comment: 19 pages, 3 figure

    Half-space theorems and the embedded Calabi-Yau problem in Lie groups

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    We study the embedded Calabi-Yau problem for complete embedded constant mean curvature surfaces of finite topology or of positive injectivity radius in a simply-connected three-dimensional Lie group X endowed with a left-invariant Riemannian metric. We first prove a half-space theorem for constant mean curvature surfaces. This half-space theorem applies to certain properly immersed constant mean curvature surfaces of X contained in the complements of normal R^2 subgroups F of X. In the case X is a unimodular Lie group, our results imply that every minimal surface in X-F that is properly immersed in X is a left translate of F and that every complete embedded minimal surface of finite topology or of positive injectivity radius in X-F is also a left translate of F.Comment: 17 page

    Parabolic stable surfaces with constant mean curvature

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    We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrodinger operator −L=−(Δ+q)-L=-(\Delta +q) on a parabolic Riemannian manifold M, then u is either identically zero or it has no zeros on M, and the linear space of such functions is 1-dimensional. We obtain consequences for orientable, complete stable surfaces with constant mean curvature H∈RH\in\mathbb{R} in homogeneous spaces E(Îș,τ)\mathbb{E}(\kappa,\tau) with four dimensional isometry group. For instance, if M is an orientable, parabolic, complete immersed surface with constant mean curvature H in H2×R\mathbb{H}^2\times\mathbb{R}, then ∣HâˆŁâ‰€1/2|H|\leq 1/2 and if equality holds, then M is either an entire graph or a vertical horocylinder.Comment: 15 pages, 1 figure. Minor changes have been incorporated (exchange finite capacity by parabolicity, and simplify the proof of Theorem 1)

    Seasonal Movements and Distribution of Steller’s Eiders (Polysticta stelleri) Wintering at Kodiak Island, Alaska

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    We used satellite telemetry in 2004–06 to describe the annual movements and habitat use of a segment of the Pacific population of Steller’s Eiders (Polysticta stelleri) that winters at Kodiak Island, Alaska. Information about broad-scale patterns of seasonal distribution and links among annual cycle stages is critical for interpreting population trends and developing conservation strategies. We captured birds in Chiniak Bay at Kodiak Island in late February and early March and monitored the movements after departure from Kodiak Island of 24 satellite-tagged birds: 16 after-second-year (ASY) age class females, one second-year age class female, and seven ASY males. All birds used the same intercontinental migration corridor during spring, but routes and chronology of spring migration appeared to vary by year and among individuals. Sixteen of the 24 birds that were tracked migrated to breeding areas along the Arctic coast of Russia from the Chukotka Peninsula to the Taymyr Peninsula; five birds, assumed to be non-breeding, spent the summer in nearshore waters of Russia and Alaska; and the remaining three birds either died during spring migration or had failed transmitters. Thirteen birds were tracked to molt sites that were broadly distributed along the coast of Alaska. Molt sites included St. Lawrence Island, the Kuskokwim Shoals, Kamishak Bay, and three sites along the Alaska Peninsula. Twelve of these 13 birds returned to Kodiak Island to winter, and a single male wintered on the Alaska Peninsula. Steller’s Eiders marked during winter at Kodiak Island were widely distributed during the breeding season, but a large proportion of marked birds returned to molting and wintering areas in two years of the study.De 2004 Ă  2006, nous avons recouru Ă  la tĂ©lĂ©mĂ©trie satellitaire pour dĂ©crire l’utilisation de l’habitat et les mouvements annuels d’un segment de la population d’eiders de Steller (Polysticta stelleri) dans la rĂ©gion du Pacifique, eiders qui hivernent sur l’üle Kodiak, en Alaska. Il est essentiel d’obtenir des donnĂ©es sur les tendances Ă  grande Ă©chelle de la rĂ©partition saisonniĂšre et des liens entre les divers stades du cycle annuel de ces oiseaux afin d’ĂȘtre en mesure d’interprĂ©ter leurs tendances dĂ©mographiques et d’élaborer des stratĂ©gies de conservation. Nous avons capturĂ© des oiseaux dans la baie Chiniak de l’üle Kodiak vers la fin fĂ©vrier et le dĂ©but mars. AprĂšs notre dĂ©part de l’üle Kodiak, nous avons surveillĂ© les mouvements de 24 oiseaux pistĂ©s par satellite : 16 femelles de plus de deux ans, une femelle de deux ans et sept mĂąles de plus de deux ans. Tous les oiseaux ont empruntĂ© le mĂȘme couloir de migration intercontinental au printemps, mais les routes et la chronologie de la migration printaniĂšre semblaient varier d’une annĂ©e Ă  l’autre et d’un individu Ă  l’autre. Seize des24 oiseaux pistĂ©s ont migrĂ© vers des aires de reproduction situĂ©es le long de la cĂŽte arctique de la Russie, depuis la presqu’üle de Tchoukotkae jusqu’à la presqu’üle de TaĂŻmyr; cinq oiseaux, probablement non reproducteurs, ont passĂ© l’étĂ© dans les eaux cĂŽtiĂšres de la Russie et de l’Alaska, tandis que les trois autres oiseaux sont morts pendant la migration printaniĂšre ou Ă©taient dotĂ©s de transmetteurs dĂ©fectueux. Treize oiseaux ont Ă©tĂ© repĂ©rĂ©s Ă  des sites de mue largement rĂ©partis le long de la cĂŽte de l’Alaska. Parmi ces sites, notons ceux de l’üle Saint-Laurent, du haut-fond de Kuskokwim, de la baie de Kamishak et de trois autres sites le long de la pĂ©ninsule de l’Alaska. Douze de ces 13 oiseaux sont retournĂ©s Ă  l’üle Kodiak pour passer l’hiver, et un seul mĂąle a hivernĂ© dans la pĂ©ninsule de l’Alaska. Les eiders de Steller qui ont Ă©tĂ© marquĂ©s Ă  l’üle Kodiak pendant l’hiver Ă©taient largement rĂ©partis pendant la saison de reproduction, mais une grande proportion d’oiseaux pistĂ©s sont retournĂ©s aux aires de mue et d’hivernage au cours des deux annĂ©es visĂ©es par l’étude

    High-resolution computed tomography reconstructions of invertebrate burrow systems

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    The architecture of biogenic structures can be highly influential in determining species contributions to major soil and sediment processes, but detailed 3-D characterisations are rare and descriptors of form and complexity are lacking. Here we provide replicate high-resolution micro-focus computed tomography (ÎŒ-CT) data for the complete burrow systems of three co-occurring, but functionally contrasting, sediment-dwelling inter-tidal invertebrates assembled alone, and in combination, in representative model aquaria. These data (≀2,000 raw image slices aquarium−1, isotropic voxel resolution, 81 Όm) provide reference models that can be used for the development of novel structural analysis routines that will be of value within the fields of ecology, pedology, geomorphology, palaeobiology, ichnology and mechanical engineering. We also envisage opportunity for those investigating transport networks, vascular systems, plant rooting systems, neuron connectivity patterns, or those developing image analysis or statistics related to pattern or shape recognition. The dataset will allow investigators to develop or test novel methodology and ideas without the need to generate a complete three-dimensional computation of exemplar architecture

    Parental bonding and identity style as correlates of self-esteem among adult adoptees and nonadoptees

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    Adult adoptees (n equals 100) and non-adoptees (n equals 100) were compared with regard to selfesteem, identity processing style, and parental bonding. While some differences were found with regard to self-esteem, maternal care, and maternal overprotection, these differences were qualified by reunion status such that only reunited adoptees differed significantly from nonadoptees. Moreover, hierarchical regression analyses indicated that parental bonding and identity processing style were more important than adoptive status per se in predicting self esteem. Implications for practitioners who work with adoptees are discussed

    Activation of lactate receptor HCAR1 down-modulates neuronal activity in rodent and human brain tissue.

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    Lactate can be used by neurons as an energy substrate to support their activity. Evidence suggests that lactate also acts on a metabotropic receptor called HCAR1, first described in the adipose tissue. Whether HCAR1 also modulates neuronal circuits remains unclear. In this study, using qRT-PCR, we show that HCAR1 is present in the human brain of epileptic patients who underwent resective surgery. In brain slices from these patients, pharmacological HCAR1 activation using a non-metabolized agonist decreased the frequency of both spontaneous neuronal Ca <sup>2+</sup> spiking and excitatory post-synaptic currents (sEPSCs). In mouse brains, we found HCAR1 expression in different regions using a fluorescent reporter mouse line and in situ hybridization. In the dentate gyrus, HCAR1 is mainly present in mossy cells, key players in the hippocampal excitatory circuitry and known to be involved in temporal lobe epilepsy. By using whole-cell patch clamp recordings in mouse and rat slices, we found that HCAR1 activation causes a decrease in excitability, sEPSCs, and miniature EPSCs frequency of granule cells, the main output of mossy cells. Overall, we propose that lactate can be considered a neuromodulator decreasing synaptic activity in human and rodent brains, which makes HCAR1 an attractive target for the treatment of epilepsy

    Anomalous Workfunction Anisotropy in Ternary Acetylides

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    Anomalous anisotropy of workfunction values in ternary alkali metal transition metal acetylides is reported. Workfunction values of some characteristic surfaces in these emerging semiconducting materials may differ by more than ≈\approx 2 eV as predicted by Density Functional Theory calculations. This large anisotropy is a consequence of the relative orientation of rod-like [MC2_{2}]∞_{\infty} negatively charged polymeric subunits and the surfaces, with M being a transition metal or metalloid element and C2_{2} refers to the acetylide ion C22−_{2}^{2-}, with the rods embedded into an alkali cation matrix. It is shown that the conversion of the seasoned Cs2_{2}Te photo-emissive material to ternary acetylide Cs2_{2}TeC2_{2} results in substantial reduction of its ≈\approx 3 eV workfunction down to 1.71-2.44 eV on the Cs2_{2}TeC2_{2}(010) surface while its high quantum yield is preserved. Similar low workfunction values are predicted for other ternary acetylides as well, allowing for a broad range of applications from improved electron- and light-sources to solar cells, field emission displays, detectors and scanners.Comment: Accepted for publication in Phys. Rev.
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