Journal of the Mathematical Society of Japan

A special Lagrangian fibration in the Taub-NUT space

Takahiro NODA

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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.

Article information

J. Math. Soc. Japan Volume 60, Number 3 (2008), 653-663.

First available: 4 August 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C38: Calibrations and calibrated geometries
Secondary: 53C26: Hyper-Kähler and quaternionic Kähler geometry, "special" geometry

special Lagrangian submanifolds Taub-NUT space hyper-Kähler structure moment map topology of special Lagrangian fibers


NODA, Takahiro. A special Lagrangian fibration in the Taub-NUT space. Journal of the Mathematical Society of Japan 60 (2008), no. 3, 653--663. doi:10.2969/jmsj/06030653.

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