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Start Over Author "Lin, Youjiang" Journal discrete mathematics
3 results on '"Lin, Youjiang"'

3. Convex bodies with minimal volume product in R2 — a new proof

Author

Lin, Youjiang and Leng, Gangsong

Subjects
Mahler conjecture, Convex body, Polytope, Polar body
Abstract

A new proof of the Mahler conjecture in R2 is given. In order to prove the result, we introduce a new method — the vertex removal method; i.e., for any origin-symmetric polygon P, there exists a linear image ϕP contained in the unit disk B2, and there exist three contiguous vertices of ϕP lying on the boundary of B2. We can show that the volume-product of P decreases when we remove the middle vertex of the three vertices.

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