Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Dual Thurston norm of Euler classes of foliations on negatively curved 3-manifolds

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Published May 14, 2026
DOI https://doi.org/10.15673/pigc.v19i1.3111

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Dmytry Bolotov
https://orcid.org/0000-0002-8542-9695

Abstract

In this paper we give an upper bound on the dual Thurston norm of the Euler class of an arbitrary smooth foliation ℱ of codimension one defined on a closed oriented 3-manifold M3 of negative curvature, which depends on the constants bounding the injectivity radius inj(M3), the volume Vol(M3), the sectional curvature of M3 and the modulus of the mean curvature of leaves of ℱ.

Keywords:
foliations, 3-manifolds, mean curvature, Euler class

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How to Cite
Bolotov, D. (2026). Dual Thurston norm of Euler classes of foliations on negatively curved 3-manifolds. Proceedings of the International Geometry Center, 19(1), paper 5, 15 pages. https://doi.org/10.15673/pigc.v19i1.3111
Issue
Vol 19 No 1 (2026)
Section
Papers
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