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Locally Euclidean metrics on R^3

Young Deuk Kim
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Abstract

For all 0<t \leq 1, we define a locally Euclidean metric ρ_t on R^3. These metrics are invariant under Euclidean isometries and, if t increases to 1, converges to the Euclidean metric d_E. This research is motivated by expanding universe.

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Young Deuk Kim. 2007-02-16. Locally Euclidean metrics on R^3. https://arxiv.org/abs/math/0702453

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