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An example of special Lagrangian fibration

An example of special Lagrangian fibration
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摘要 On the total space of the line bundle π: π*1T*P1(◎)π2*T*P1 → P1× P1, acomplete 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 4directions. On the total space of the line bundle π:π1*T*P1(?)π2*T*P1→P1×P1,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.
作者 FU Jixiang
出处 《Science China Mathematics》 SCIE 2005年第8期1027-1032,共6页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10101004).
关键词 SPECIAL Lagrangian SPECIAL LAGRANGIAN fibration COMPLETE Ricci-flat KAEHLER metric. special Lagrangian, special Lagrangian fibration, complete Ricci-flat Kaehler metric
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参考文献4

  • 1Giorgio Patrizio,Pit-Mann Wong.Stein manifolds with compact symmetric center[J].Mathematische Annalen.1991(1)
  • 2Reese Harvey,H. Blaine Lawson.Calibrated geometries[J].Acta Mathematica.1982(1)
  • 3Goldstein,E.Calibrated fibrations on noncompact manifolds via torus action, Duck Math[].J.2001
  • 4Fu,J. X.Rigidity of a class of special Lagrangian fibrations singularity, Asian J[].Mathematica Journal.2000

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