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February 2013 Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds
Feng Luo
J. Differential Geom. 93(2): 299-326 (February 2013). DOI: 10.4310/jdg/1361800868

Abstract

We propose a finite-dimensional variational principle on triangulated 3-manifolds so that its critical points are related to solutions to Thurston’s gluing equation and Haken’s normal surface equation. The action functional is the volume.

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Feng Luo. "Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds." J. Differential Geom. 93 (2) 299 - 326, February 2013. https://doi.org/10.4310/jdg/1361800868

Information

Published: February 2013
First available in Project Euclid: 25 February 2013

zbMATH: 1292.57018
MathSciNet: MR3024308
Digital Object Identifier: 10.4310/jdg/1361800868

Rights: Copyright © 2013 Lehigh University

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Vol.93 • No. 2 • February 2013
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