Journal of Differential Geometry

Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds

Feng Luo

Full-text: Open access

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.

Article information

Source
J. Differential Geom., Volume 93, Number 2 (2013), 299-326.

Dates
First available in Project Euclid: 25 February 2013

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1361800868

Digital Object Identifier
doi:10.4310/jdg/1361800868

Mathematical Reviews number (MathSciNet)
MR3024308

Zentralblatt MATH identifier
1292.57018

Citation

Luo, Feng. Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds. J. Differential Geom. 93 (2013), no. 2, 299--326. doi:10.4310/jdg/1361800868. https://projecteuclid.org/euclid.jdg/1361800868


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