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.
Publié le : 2008-07-15
Classification:
special Lagrangian submanifolds,
Taub-NUT space,
hyper-Kähler structure,
moment map,
topology of special Lagrangian fibers,
53C38,
53C26
@article{1217884487,
author = {NODA, Takahiro},
title = {A special Lagrangian fibration in the Taub-NUT space},
journal = {J. Math. Soc. Japan},
volume = {60},
number = {1},
year = {2008},
pages = { 653-663},
language = {en},
url = {http://dml.mathdoc.fr/item/1217884487}
}
NODA, Takahiro. A special Lagrangian fibration in the Taub-NUT space. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp. 653-663. http://gdmltest.u-ga.fr/item/1217884487/