Affine surface area and convex bodies of elliptic type
نویسنده
چکیده
If a convex body K in R is contained in a convex body L of elliptic type (a curvature image), then it is known that the affine surface area of K is not larger than the affine surface area of L. We prove that the affine surface areas of K and L can only be equal if K = L. 2010 Mathematics Subject Classification: primary 52A10; secondary 53A15
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ورودعنوان ژورنال:
- Periodica Mathematica Hungarica
دوره 69 شماره
صفحات -
تاریخ انتشار 2014