An information-theoretic analog of a result of Perelman

Details An information-theoretic analog of a result of Perelman An information-theoretic analog of a result of Perelman

2007-11-16

arxiv.org/abs/0711.2652v1

Mathematics

Differential Geometry

Scientific paper

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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