The dual Thurston norm and the geometry of closed 3-manifolds
Mitsuhiro Itoh and Takahisa Yamase
Source: Osaka J. Math. Volume 43, Number 1
(2006), 121-129.
Abstract
We investigate closed Riemannian 3-manifolds which satisfy an extremal condition. Using monopole equations and considering the action of the covering transformations, we decide the geometric structure of such 3-manifolds. As a result, we characterize the geometry of 3-manifolds with monopole classes whose dual Thurston norm is equal to one.
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Permanent link to this document: http://projecteuclid.org/euclid.ojm/1146242997
Mathematical Reviews number (MathSciNet): MR2222404
Zentralblatt MATH identifier: 1107.57021
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