Applications of a New Affine Invariant for Polytopes

YANG Liu; HE Bin-wu

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YANG Liu, HE Bin-wu. Applications of a New Affine Invariant for Polytopes[J]. Applied Mathematics and Mechanics, 2008, 29(2): 247-252.

Citation:

YANG Liu, HE Bin-wu. Applications of a New Affine Invariant for Polytopes[J]. Applied Mathematics and Mechanics, 2008, 29(2): 247-252.

Citation:

YANG Liu, HE Bin-wu. Applications of a New Affine Invariant for Polytopes[J]. Applied Mathematics and Mechanics, 2008, 29(2): 247-252.

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Applications of a New Affine Invariant for Polytopes

YANG Liu,
HE Bin-wu

Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

Received Date: 2007-03-12
Rev Recd Date: 2007-11-21
Publish Date: 2008-02-15

Abstract

Abstract

Using the technique of combination extremum,it was obtained that the analytic expression of the affineinvariant functional,by Lutwak,Yang and Zhang recently introduced,defined on a specific subclass of origin-symmetric convex polytopes in n-dimensional Euclidean space,and an application of it to Minkowski problem for origin-symmetric convex polytopes was given.
- convex polytope,
- affine-invariant,
- Minkowski problem,
- volume

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References(13)

References

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