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On Steiner’s Symmetrization of Convex Bodies in Non-Euclidean Geometry

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Abstract.

Steiner’s symmetrization of plane convex bodies in non-euclidean geometry is systematically handled. Hereby the convexity is in general no more globally preserved, but it exists a simple criterion for the preservation of local convexity.

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  1. Institute of Geometry and Topology, University of Stuttgart, Pfaffenwaldring 57, D-70569, Stuttgart, Germany

    Kurt Leichtweiss

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  1. Kurt Leichtweiss
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Correspondence to Kurt Leichtweiss.

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Dedicated to Udo Simon on the occasion of his 70th birthday

Received: March 11, 2008. Accepted: May 12, 2008.

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Leichtweiss, K. On Steiner’s Symmetrization of Convex Bodies in Non-Euclidean Geometry. Result. Math. 52, 339–346 (2008). https://doi.org/10.1007/s00025-008-0315-3

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  • DOI: https://doi.org/10.1007/s00025-008-0315-3

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