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June 2020 A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries
Akifumi OCHIAI
Tokyo J. Math. 43(1): 215-238 (June 2020). DOI: 10.3836/tjm/1502179306

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.

Citation

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Akifumi OCHIAI. "A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries." Tokyo J. Math. 43 (1) 215 - 238, June 2020. https://doi.org/10.3836/tjm/1502179306

Information

Published: June 2020
First available in Project Euclid: 24 August 2019

zbMATH: 07227187
MathSciNet: MR4121795
Digital Object Identifier: 10.3836/tjm/1502179306

Subjects:
Primary: 53C38

Rights: Copyright © 2020 Publication Committee for the Tokyo Journal of Mathematics

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Vol.43 • No. 1 • June 2020
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