An information-theoretic analog of a result of Perelman

Brockway McMillan

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arXiv · 0711.2652

An information-theoretic analog of a result of Perelman

Brockway McMillan

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Abstract

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.

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Brockway McMillan. 2007-11-16. An information-theoretic analog of a result of Perelman. https://arxiv.org/abs/0711.2652

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