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A canonical way to deform a Lagrangian submanifold

Knut Smoczyk
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Abstract

We derive some important geometric identities for Lagrangian submanifolds immersed in a Kähler manifold and prove that there exists a canonical way to deform a Lagrangian submanifold by a parabolic flow through a family of Lagrangian submanifolds if the ambient space is a Ricci-flat Calabi-Yau manifold.

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Knut Smoczyk. 1996-05-22. A canonical way to deform a Lagrangian submanifold. https://arxiv.org/abs/dg-ga/9605005

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