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On Symmetries of Projections and Sections of Convex Bodies

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Discrete Geometry and Symmetry (GSC 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 234))

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Abstract

In this paper we discuss several questions of unique determination of convex (or star-shaped) bodies with projections (sections) satisfying a certain symmetry property.

The author is supported in part by U.S. National Science Foundation Grants DMS-0652684 and DMS-1101636.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Kent State University, Kent, OH, 44242, USA

    Dmitry Ryabogin

Authors
  1. Dmitry Ryabogin
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Correspondence to Dmitry Ryabogin .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Auckland, Auckland, New Zealand

    Marston D. E. Conder

  2. Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada

    Antoine Deza

  3. Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada

    Asia Ivić Weiss

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Ryabogin, D. (2018). On Symmetries of Projections and Sections of Convex Bodies. In: Conder, M., Deza, A., Weiss, A. (eds) Discrete Geometry and Symmetry. GSC 2015. Springer Proceedings in Mathematics & Statistics, vol 234. Springer, Cham. https://doi.org/10.1007/978-3-319-78434-2_17

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