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

Masato Arai, Kurando Baba

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)255-284
Number of pages30
JournalTokyo Journal of Mathematics
Volume42
Issue number1
DOIs
Publication statusPublished - 2019

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