Volume optimization, normal surfaces, and thurston’s equation on triangulated 3-manifolds

Feng Luo

doi:10.4310/jdg/1361800868

Volume optimization, normal surfaces, and thurston’s equation on triangulated 3-manifolds

Feng Luo

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English (US)
Pages (from-to)	299-326
Number of pages	28
Journal	Journal of Differential Geometry
Volume	93
Issue number	2
DOIs	https://doi.org/10.4310/jdg/1361800868
State	Published - Jan 1 2013

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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10.4310/jdg/1361800868

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title = "Volume optimization, normal surfaces, and thurston{\textquoteright}s equation on triangulated 3-manifolds",

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

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Volume optimization, normal surfaces, and thurston’s equation on triangulated 3-manifolds

Abstract

All Science Journal Classification (ASJC) codes

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