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

Authors: Dmitriy Slutskiy
Subjects: Metric Geometry
link: http://arxiv.org/abs/1002.3884
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.