论文标题
对称下的log-brunn-minkowski不平等
Log-Brunn-Minkowski inequality under symmetry
论文作者
论文摘要
我们证明了具有对称为$ n $独立超重样本的凸形物体的Log-brunn-Minkowski猜想，并讨论了对数Minkowski问题的相关情况的平等案例和解决方案的独特性。我们还阐明了已知参数的一个小差距，该论点将无条件凸体的log-brunn-minkowski猜想分类。
We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to $n$ independent hyperplanes, and discuss the equality case and the uniqueness of the solution of the related case of the logarithmic Minkowski problem. We also clarify a small gap in the known argument classifying the equality case of the log-Brunn-Minkowski conjecture for unconditional convex bodies.
