A Visualization of the Isometry Group Action on the Fomenko{Matveev{Weeks Manifold

نویسنده

  • Alexander MEDNYKH
چکیده

The smallest known three-dimensional closed orientable hyperbolic manifoldM 1 , which volume is equal to 0:94 : : :, was obtained independently by A. Fomenko and S. Matveev and by J. Weeks. It is known, that the isometry group of the manifold M 1 is isomorphic to the dihedral group ID 6 of order 12. We study the lattice of the action of the isometry group on the manifoldM 1 and obtain all orbifolds which arised as the quotient spaces.

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تاریخ انتشار 2007