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New higher-order equiaffine invariants

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Abstract

We introduce new affine invariants for smooth convex bodies. Some sharp affine isoperimetric inequalities are established for the new invariants.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Concordia University Montreal, Quebec, H3G 1M8, Canada

    Alina Stancu

  2. Department of Mathematics, Case Western Reserve University, Cleveland, OH, 44106, USA

    Elisabeth Werner

  3. Université de Lille 1, UFR de Mathématique, 59655, Villeneuve dAscq, France

    Elisabeth Werner

Authors
  1. Alina Stancu
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  2. Elisabeth Werner
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Correspondence to Alina Stancu.

Additional information

Partially supported by an NSERC grant and an FRDP grant.

Partially supported by an NSF grant, an FRG-NSF grant and a BSF grant.

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Stancu, A., Werner, E. New higher-order equiaffine invariants. Isr. J. Math. 171, 221–235 (2009). https://doi.org/10.1007/s11856-009-0048-3

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  • DOI: https://doi.org/10.1007/s11856-009-0048-3

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