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Simple root flows for Hitchin representations

Abstract : We study simple root flows and Liouville currents for Hitchin representations. We show that the Liouville current is associated to the measure of maximal entropy for a simple root flow, derive a Liouville volume rigidity result, and construct a Liouville pressure metric on the Hitchin component.
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https://hal.archives-ouvertes.fr/hal-01654560
Contributor : François Labourie <>
Submitted on : Monday, December 4, 2017 - 10:39:24 AM
Last modification on : Wednesday, January 6, 2021 - 5:20:05 PM

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  • HAL Id : hal-01654560, version 1
  • ARXIV : 1708.01675

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Martin Bridgeman, Richard Canary, François Labourie, Andres Sambarino. Simple root flows for Hitchin representations. 2017. ⟨hal-01654560⟩

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