Isoperimetric Inequalities and Amenability

Part of the Modern Birkhäuser Classics book series (MBC)


Let (V, g), (W, h) be oriented Riemannian manifolds. A mapping f : VW 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 < ‖DfxncJ(x) for almost all x, where c is a constant.


Riemannian Manifold Fundamental Group Heisenberg Group Compact Manifold Isoperimetric Inequality 
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© Birkhäuser Boston 2007

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