Locally Euclidean metrics on R^3

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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.
5 pages

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Differential Geometry, Mathematical Physics, 85A40 ; 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/124045

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702453
 http://arxiv.org/abs/math/0702453

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arXiv