A construction of special Lagrangian submanifolds by generalized perpendicular symmetries
Differential Geometry
2019-07-18 v1
Abstract
We show a method to construct a special Lagrangian submanifold L' 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 the cotangent bundles of the spheres which are non-flat Calabi-Yau manifolds equipped with the Stenzel metrics.
Keywords
Cite
@article{arxiv.1907.07400,
title = {A construction of special Lagrangian submanifolds by generalized perpendicular symmetries},
author = {Akifumi Ochiai},
journal= {arXiv preprint arXiv:1907.07400},
year = {2019}
}
Comments
20 pages, 0 figures