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