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Isoperimetric Inequalities and Amenability

Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

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.

Keywords

Riemannian Manifold Fundamental Group Heisenberg Group Compact Manifold Isoperimetric Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2007

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