106,024 research outputs found

    De Extrapolatie Stelling van Yano

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    In dit verslag behandelen we de Extrapolatie Stelling van Yano: een stelling die voor operators van de vorm T : f(x) -> T(f)(x) in bepaalde omstandigheden een afschatting geeft van de absolute integraal over T(f)(x) in termen van f(x) zelf. We zullen zien dat deze afschatting, en meer afschattingen van soortgelijke vorm, onder de juiste voorwaarden continuïteit impliceert voor de operator. Om deze stelling te kunnen behandelen zullen we wat theorie over vectorruimtes opgebouwd uit functies, en enkele voorbeelden relevant voor de stelling, introduceren. Ook behandelen we wat theorie omtrent operators, en passen we de Extrapolatie Stelling van Yano toe op enkele operators.Applied Mathematic

    Etmopterus splendidus Yano 1988

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    Etmopterus splendidus Yano, 1988 Type locality: off Shimo-Koshiki Island, 31 °46.0' N, 129 ° 43.8 ' E, Japan. The six Taiwanese samples of E. splendidus formed a single cluster together with an additional sample (GN 995) also from Taiwan (Figure 2, Supplementary Material 1). This cluster is sister to a clade comprising one sample of E. sentosus (GN 7402) from the Indian Ocean off Mozambique.Published as part of Straube, Nicolas, White, William T., Ho, Hsuan-Ching, Rochel, Elisabeth, Corrigan, Shannon, Li, Chenhong & Naylor, Gavin J. P., 2013, A DNA sequence-based identification checklist for Taiwanese chondrichthyans, pp. 256-278 in Zootaxa 3752 (1) on page 261, DOI: 10.11646/zootaxa.3752.1.16, http://zenodo.org/record/28535

    Killing-Yano Supersymmetry in string theory

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    The presence of Killing-Yano tensors implies the existence of non-standard supersymmetries in point particle theories on curved backgrounds. In a string theoretical context these are symmetries of the modes describing the particle-like behavior of the string. In the presence of isometries we show that, in addition to these, one can also define a new type of non-standard supersymmetry among a mixture of particle and winding modes. The interplay with T-duality is also examined and illustrated by explicit examples

    Killing-Yano 2-forms on homogeneous spaces

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    Riemannian manifolds carrying skew (1, 1)-tensors satisfying the Killing-Yano equation are natural generalizations of nearly Kähler manifolds. In this article we investigate the existence of invariant solutions to the Killing-Yano equation on homogeneous spaces G/K endowed with a G-invariant metric, focusing on 2-forms. We exhibit non parallel invariant solutions on full flag manifolds SU(n) / T for every n≥ 4. These flag manifolds do not admit an invariant nearly Kähler structure. We give the full set of invariant solutions to the Killing-Yano equation for SU(3) / T.Fil: Dotti, Isabel Graciela. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Herrera, Andrea Cecilia. Universidad Nacional de Santiago del Estero, Santiago del Estero; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentin

    A space-time hp-interpolation-based certified reduced basis method for Burgers' equation

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    We present a space-time interpolation-based certified reduced basis method for Burgers' equation over the spatial interval (0, 1) and the temporal interval (0, T] parametrized with respect to the Peclet number. We first introduce a Petrov–Galerkin space-time finite element discretization which enjoys a favorable inf–sup constant that decreases slowly with Peclet number and final time T. We then consider an hp interpolation-based space-time reduced basis approximation and associated Brezzi–Rappaz–Raviart a posteriori error bounds. We describe computational offline–online decomposition procedures for the three key ingredients of the error bounds: the dual norm of the residual, a lower bound for the inf–sup constant, and the space-time Sobolev embedding constant. Numerical results demonstrate that our space-time formulation provides improved stability constants compared to classical L[superscript 2]-error estimates; the error bounds remain sharp over a wide range of Peclet numbers and long integration times T, in marked contrast to the exponentially growing estimate of the classical formulation for high Peclet number cases.United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Grant FA9550-09-1-0613)United States. Office of Naval Research (Grant N00014-11-1-0713)Deutsche Forschungsgemeinschaft (Ur-63/9)Deutsche Forschungsgemeinschaft (GrK1100

    Killing-Yano Supersymmetry in String Theory

    No full text
    The presence of Killing-Yano tensors implies the existence of non-standard supersymmetries in point particle theories on curved backgrounds. In a string theoretical context these are symmetries of the modes describing the particle-like behavior of the string. In the presence of isometries we show that, in addition to these, one can also define a new type of non-standard supersymmetry among a mixture of particle and winding modes. The interplay with T-duality is also examined and illustrated by explicit examples

    Letter, [Author unclear] to Paulina T. Merritt

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    Handwritten letter to Paulina Merritt from an unknown author, October 1, 1876.

    Local metrics admitting a principal Killing–Yano tensor with torsion

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    In this paper we initiate a classification of local metrics admitting the principal Killing–Yano tensor with a skew-symmetric torsion. It is demonstrated that in such spacetimes rank-2 Killing tensors occur naturally and mutually commute. We reduce the classification problem to that of solving a set of partial differential equations, and we present some solutions to these PDEs. In even dimensions, three types of local metrics are obtained: one of them naturally generalizes the torsion-less case while the others occur only when the torsion is present. In odd dimensions, we obtain more varieties of local metrics. The explicit metrics constructed in this paper are not the most general possible admitting the required symmetry; nevertheless, it is demonstrated that they cover a wide variety of solutions of various supergravities, such as the Kerr–Sen black holes of (un-)gauged Abelian heterotic supergravity, the Chong–Cvetic–Lü–Pope black hole solution of five-dimensional minimal supergravity or the Kähler with torsion manifolds. The relation between generalized Killing–Yano tensors and various torsion Killing spinors is also discussed
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