10 research outputs found

    Witten spinors on maximal, conformally flat hypersurfaces

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    The boundary conditions that exclude zeros of the solutions of the Witten equation (and hence guarantee the existence of a 3-frame satisfying the so-called special orthonormal frame gauge conditions) are investigated. We determine the general form of the conformally invariant boundary conditions for the Witten equation, and find the boundary conditions that characterize the constant and the conformally constant spinor fields among the solutions of the Witten equations on compact domains in extrinsically and intrinsically flat, and on maximal, intrinsically globally conformally flat spacelike hypersurfaces, respectively. We also provide a number of exact solutions of the Witten equation with various boundary conditions (both at infinity and on inner or outer boundaries) that single out nowhere vanishing spinor fields on the flat, non-extreme Reissner--Nordstr\"om and Brill--Lindquist data sets. Our examples show that there is an interplay between the boundary conditions, the global topology of the hypersurface and the existence/non-existence of zeros of the solutions of the Witten equation.Comment: 23 pages, typos corrected, final version, accepted in Class. Quantum Gra

    Natur und Leben in der deutschen Geistesgeschichte

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    I. Natur und Leben in der Geistesgeschicht

    Natur und Leben in der deutschen Geistesgeschichte

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    Gott, Natur, Kunst und Geschichte: Schelling zwischen Identitätsphilosophie und Freiheitsschrift

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    Die Beiträge thematisieren die philosophische Entwicklung Friedrich Wilhelm Joseph Schellings (1775–1854) im ersten Jahrzehnt des 19. Jahrhunderts. Schelling hatte 1801 einen umfassenden Entwurf einer systematischen Philosophie vorgelegt, in dem die gesamte Natur und die gesamte Geisteswelt als Erscheinungen ein und desselben Prinzips verstanden werden. Im Jahre 1809 legte er mit der Schrift »Philosophische Untersuchungen über das Wesen der menschlichen Freiheit« eine Konzeption vor, die dem Systementwurf von 1801 scheinbar widerspricht. In der Schelling-Forschung ist diese Entwicklungsphase zwischen Identitätsphilosophie und Freiheitsschrift heftig umstritten. Die Beiträge des Bandes machen nun erstmals die Entwicklung der Philosophie Schellings hin zur Freiheitsschrift als eine kontinuierliche Weiterentwicklung seines Ansatzes von 1801 deutlich. Damit kommt es zu einer Klärung wichtiger werkgeschichtlicher Entwicklungsprobleme in der Philosophie Schellings, die weit über den engeren Bereich der Schelling-Forschung von Interesse sind

    Low prevalence of lactase persistence in bronze age europe indicates ongoing strong selection over the last 3,000 years

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    Lactase persistence (LP), the continued expression of lactase into adulthood, is the most strongly selected single gene trait over the last 10,000 years in multiple human populations. It has been posited that the primary allele causing LP among Eurasians, rs4988235-A [1], only rose to appreciable frequencies during the Bronze and Iron Ages [2, 3], long after humans started consuming milk from domesticated animals. This rapid rise has been attributed to an influx of people from the Pontic-Caspian steppe that began around 5,000 years ago [4, 5]. We investigate the spatiotemporal spread of LP through an analysis of 14 warriors from the Tollense Bronze Age battlefield in northern Germany (∼3,200 before present, BP), the oldest large-scale conflict site north of the Alps. Genetic data indicate that these individuals represent a single unstructured Central/Northern European population. We complemented these data with genotypes of 18 individuals from the Bronze Age site Mokrin in Serbia (∼4,100 to ∼3,700 BP) and 37 individuals from Eastern Europe and the Pontic- Caspian Steppe region, predating both Bronze Age sites (∼5,980 to ∼3,980 BP). We infer low LP in all three regions, i.e., in northern Germany and South-eastern and Eastern Europe, suggesting that the surge of rs4988235 in Central and Northern Europe was unlikely caused by Steppe expansions. We estimate a selection coefficient of 0.06 and conclude that the selection was ongoing in various parts of Europe over the last 3,000 years

    Report of the ICES WKROUNDMP 2011 / STECF EWG 11-07. Evaluation and Impact As-sessment of Management Plans PT II

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    A joint ICES / STECF meeting was held in Hamburg 20-24 June 2011, to prepare an Evaluation of multi-annual plans for cod in Kattegat, North Sea, Irish Sea and West of Scotland. The meeting involved STECF, ICES scientists dealing with Economy and Biology and included Observers (Commission staff, Managers, Stakeholders). Three separate reports to the STECF were prepared by the EWG-11-07, one on the Impact Assessment of Southern hake, Nephrops and Angler fish (EWG-11-07c) and another on the Impact Assessments for Baltic cod (EWG 11-07a) and this third on the Evaluation of Cod in Kattegat, North Sea, West of Scotland and Irish Sea (EWG-11-07b) and clari-fication of Advice on NS whiting.JRC.G.4-Maritime affair

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