Abstract
Let (V, g), (W, h) be oriented Riemannian manifolds. A mapping f : V → W is called quasiregular if it is locally Lipschitz, thus differentiable almost everywhere, and if its differential Dfx and Jacobian J(x) satisfy the inequality 0 < ‖Dfx‖n ≤ cJ(x) for almost all x, where c is a constant.
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© 2007 Birkhäuser Boston
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(2007). Isoperimetric Inequalities and Amenability. In: Metric Structures for Riemannian and Non-Riemannian Spaces. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4583-0_7
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DOI: https://doi.org/10.1007/978-0-8176-4583-0_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4582-3
Online ISBN: 978-0-8176-4583-0
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