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arXiv · 1705.04443

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

Masato Arai·Kurando Baba
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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.

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Masato Arai, Kurando Baba. 2017-05-12. Special Lagrangian submanifolds and cohomogeneity one actions on the complex projective space. https://doi.org/10.3836/tjm%2F1502179289

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