数学中，在n-维欧氏空间Rn的凸体（英语：Convex body）是一个内部非空的紧凸集。
如果凸体K是关于中心点对称的对称凸体，即对K的任一点x，当且仅当它的有对中心点对称点-x也在凸体K上。显然对称凸体K和Rn空间上单位球在范上一一对应。
参考文献
- Gardner, Richard J. The Brunn-Minkowski inequality. Bull. Amer. Math. Soc. (N.S.). 2002, 39 (3): 355–405 (electronic). doi:10.1090/S0273-0979-02-00941-2.
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