Proportionality Principle for the Lipschitz simplicial volume
Federico Franceschini
TL;DR
This paper proves the Proportionality Principle for Lipschitz simplicial volume without curvature restrictions, using a novel pseudostraightening construction for simplices.
Contribution
It introduces a new pseudostraightening method that enables the proof of the Proportionality Principle in a broader geometric setting.
Findings
Proves the Proportionality Principle for Lipschitz simplicial volume without curvature restrictions.
Develops a pseudostraightening technique for simplices.
Extends the applicability of the Proportionality Principle in geometric topology.
Abstract
We prove the Proportionality Principle for the Lipschitz simplicial volume without any restriction on curvature. Our argument is based on the construction of a suitable \emph{pseudostraightening} for simplices.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Homotopy and Cohomology in Algebraic Topology