arXiv:1409.3475 Abstract | arXiv Analytics

arXiv:1409.3475 [math.GT]Abstract References Reviews Resources

Piecewise straightening and Lipschitz simplicial volume

Published 2014-09-11Version 1

We study the Lipschitz simplicial volume, which is a metric version of the simplicial volume. We introduce the piecewise straightening procedure for singular chains, which allows us to generalize the proportionality principle and the product inequality to the case of complete Riemannian manifolds of finite volume with sectional curvature bounded from above.

Categories: math.GT, math.DG

Subjects: 53C23

Keywords: lipschitz simplicial volume, piecewise straightening, complete riemannian manifolds, metric version, proportionality principle

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