A special Lagrangian fibration in the Taub-NUT space
Takahiro NODA
Source: J. Math. Soc. Japan Volume 60, Number 3
(2008), 653-663.
Abstract
In this paper we construct explicitly a special Lagrangian fibration in the Taub-NUT space. The Taub-NUT space is a complex 2-fold with a Ricci-flat metric and it is well known to physicists. For this space, we find $S^{1}$-invariant special Lagrangian submanifolds by using moment map techniques and show that a family of special Lagrangian submanifolds give a fibration of the Taub-NUT space. We also study a topology of special Lagrangian fibers using explicit description of special Lagrangians.
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Keywords: special Lagrangian submanifolds; Taub-NUT space; hyper-Kähler structure; moment map; topology of special Lagrangian fibers
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1217884487
Digital Object Identifier: doi:10.2969/jmsj/06030653
Mathematical Reviews number (MathSciNet): MR2440408
Zentralblatt MATH identifier: 1146.53032
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