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Special Lagrangian submanifolds and cohomogeneity one actions on the complex projective space

202   0   0.0 ( 0 )
 نشر من قبل Kurando Baba
 تاريخ النشر 2017
  مجال البحث
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We construct examples of cohomogeneity one special Lagrangian submanifolds in the cotangent bundle over the complex projective space, whose Calabi-Yau structure was given by Stenzel. For each example, we describe the condition of special Lagrangian as an ordinary differential equation. Our method is based on a moment map technique and the classification of cohomogeneity one actions on the complex projective space classified by Takagi.


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