The Brunn-Minkowski Inequalities for Centroid Body - Advances in Pure Mathematics

APM > Vol.3 No.1, January 2013

The Brunn-Minkowski Inequalities for Centroid Body ()

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DOI: 10.4236/apm.2013.31013 4,083 Downloads 6,266 Views

Author(s)

Jun Yuan, Lingzhi Zhao

Affiliation(s)

School of Mathematics and Computer Science, Nanjing Xiaozhuang University, Nanjing, China.

ABSTRACT

In [1], the authors established the Brunn-Minkowski inequality for centroid body. In this paper, we give an isolate form and volume difference of it, respectively. Both of these results are strength versions of the original.

KEYWORDS

Centroid Body; The Brunn-Minkowski Inequality

Share and Cite:

J. Yuan and L. Zhao, "The Brunn-Minkowski Inequalities for Centroid Body," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 105-108. doi: 10.4236/apm.2013.31013.

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