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arXiv:1907.07400 [math.DG]AbstractReferencesReviewsResources

A construction of special Lagrangian submanifolds by generalized perpendicular symmetries

Akifumi Ochiai

Published 2019-07-17Version 1

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.

Comments: 20 pages, 0 figures
Categories: math.DG
Subjects: 53C38
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