Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II
Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way that its jacobian is sharply bounded from above...
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| Format: | Article |
| Language: | English |
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Sciendo
2018-07-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.2478/awutm-2018-0008 |