Dmitriy Slutskiy

  1. An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevsky 3-space.

    Authors: Dmitriy Slutskiy
    Subjects: Metric Geometry
    Abstract

    We give an example of an infinitesimally nonrigid polyhedron in the
    Lobachevsky 3-space and construct an infinitesimal flex of that polyhedron such
    that the volume of the polyhedron isn't stationary under the flex.

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