Geodesic
On unit balls and isoperimetrices in normed spaces
Horst Martini1 ; Zokhrab Mustafaev2
1 Faculty of Mathematics University of Technology Chemnitz 09107 Chemnitz, Germany
2 Department of Mathematics University of Houston-Clear Lake Houston, TX 77058, U.S.A.
Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 133-142 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The purpose of this paper is to continue the investigations on the homothety of unit balls and isoperimetrices in higher-dimensional Minkowski spaces for the Holmes–Thompson measure and the Busemann measure. Moreover, we show a strong relation between affine isoperimetric inequalities and Minkowski geometry by proving some new related inequalities.
DOI : 10.4064/cm127-1-10
Keywords: purpose paper continue investigations homothety unit balls isoperimetrices higher dimensional minkowski spaces holmes thompson measure busemann measure moreover strong relation between affine isoperimetric inequalities minkowski geometry proving related inequalities

Horst Martini 1 ; Zokhrab Mustafaev 2

1 Faculty of Mathematics University of Technology Chemnitz 09107 Chemnitz, Germany
2 Department of Mathematics University of Houston-Clear Lake Houston, TX 77058, U.S.A. 
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Horst Martini; Zokhrab Mustafaev. On unit balls and isoperimetrices in normed spaces. Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 133-142. doi: 10.4064/cm127-1-10

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