反向Bishop-Gromov定理是否成立？ - 知乎
30 June 2025 admin
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我们研究了有限生成群上的某种Ricci curvature。很奇妙的是，我们得到的是类似于某种反向Bishop-Gromov定理。我们证明了，如果群上Ricci curvature<0（其实自动保证uniform bound），则群（它的Cayley图）是指数增长的。这一点对黎曼流形肯定是不对的，因为三维开始，任意 ...
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