4 research outputs found

    Local monotonicity of Riemannian and Finsler volume with respect to boundary distances

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    We show that the volume of a simple Riemannian metric on DnD^n is locally monotone with respect to its boundary distance function. Namely if gg is a simple metric on DnD^n and g′g' is sufficiently close to gg and induces boundary distances greater or equal to those of gg, then vol(Dn,g′)≥vol(Dn,g)vol(D^n,g')\ge vol(D^n,g). Furthermore, the same holds for Finsler metrics and the Holmes--Thompson definition of volume. As an application, we give a new proof of the injectivity of the geodesic ray transform for a simple Finsler metric.Comment: 13 pages, v3: minor corrections and clarifications, to appear in Geometriae Dedicat

    ALICE Technical Design Report on Forward Detectors : FMD, T0 and V0

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    ALICE PHASE EI SEP ACC S2

    ALICE Technical Design Report of the Computing

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    ALICE, EI PHASE SE
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