Blaschke-decomposable convex bodies |
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| Authors: | Stefano Campi Andrea Colesanti Paolo Gronchi |
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| Affiliation: | (1) Dipartimento di Matematica Pura e Applicata “G. Vitali”, Università di Modena, Via Campi 213/B, 41100 Modena, Italy;(2) Dipartimento di Matematica “U. Dini”, Firenze, Italy;(3) Istituto di Analisi Globale e Applicazioni (CNR), Firenze, Italy |
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| Abstract: | For a given centred convex bodyK of ℝ,n≥3, let  be the class of all convex bodies with the same projection body asK. The question whetherK can be expressed as a Blaschke average of two non-homothetic bodies from  is considered. Necessary and sufficient conditions onK to be Blaschke decomposable in  are given. The paper provides also a characterization of the bodiesK such that the Blaschke indecomposable bodies in  are dense in  itself. |
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