Title: Special Lagrangian submanifolds and cohomogeneity one actions on the complex projective space,
Abstract: 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.