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An example of special lagrangian fibration
Authors:FU Jixiang
Institution:Institute of Mathematics of Fudan University, Shanghai 200433, China
Abstract:On the total space of the line bundle
$$\pi :\pi _1^ *  T^ *  P_1  \otimes \pi _2^ *  T^ *  P^1  \to P_1  \times P^1 $$
, a complete Ricci-flat Kaehler metric and a smooth special Lagrangian fibration are given. This special Lagrangian fibration is smoothly built up of 4 Harvey-Lawson’s models in 4 directions.
Keywords:special Lagrangian  special Lagrangian fibration  complete Ricci-flat Kaehler metric
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