## Tokyo Journal of Mathematics

### 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.

#### Article information

Source
Tokyo J. Math., Volume 42, Number 1 (2019), 255-284.

Dates
First available in Project Euclid: 18 July 2019

https://projecteuclid.org/euclid.tjm/1563436922

Mathematical Reviews number (MathSciNet)
MR3982058

Zentralblatt MATH identifier
07114909

Subjects
Primary: 53C38: Calibrations and calibrated geometries

#### Citation

ARAI, Masato; BABA, Kurando. Special Lagrangian Submanifolds and Cohomogeneity One Actions on the Complex Projective Space. Tokyo J. Math. 42 (2019), no. 1, 255--284. https://projecteuclid.org/euclid.tjm/1563436922

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