## Tokyo Journal of Mathematics

### A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries

Akifumi OCHIAI

#### Abstract

We show a method to construct a special Lagrangian submanifold $L^\prime$ from a given special Lagrangian submanifold $L$ in a Calabi-Yau manifold with the use of generalized perpendicular symmetries. We use moment maps of the actions of Lie groups, which are not necessarily abelian. By our method, we construct some non-trivial examples in non-flat Calabi-Yau manifolds $\mathrm{T}^\ast S^n$ which equipped with the Stenzel metrics.

#### Article information

Source
Tokyo J. Math., Advance publication (2019), 24 pages.

Dates
First available in Project Euclid: 24 August 2019

https://projecteuclid.org/euclid.tjm/1566612103

Subjects
Primary: 53C38: Calibrations and calibrated geometries

#### Citation

OCHIAI, Akifumi. A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries. Tokyo J. Math., advance publication, 24 August 2019. https://projecteuclid.org/euclid.tjm/1566612103

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