Perelman一个结果的信息论模拟
An information-theoretic analog of a result of Perelman
摘要:
每个有限维k的紧致流形M是可微的,并且支持一个内禀概率测度。于是存在M到(k+1)维球的k维“表面”的可测变换。
英文摘要:
Each compact manifold M of finite dimension k is differentiable and supports an intrinsic probability measure. There then exists a measurable transformation of M to the k-dimensional "surface" of the (k+1)-dimensional ball.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。