Tokyo Journal of Mathematics
- Tokyo J. Math.
- Volume 42, Number 1 (2019), 255-284.
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.
Tokyo J. Math., Volume 42, Number 1 (2019), 255-284.
First available in Project Euclid: 18 July 2019
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C38: Calibrations and calibrated geometries
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