A canonical way to deform a Lagrangian submanifold

Details A canonical way to deform a Lagrangian submanifold A canonical way to deform a Lagrangian submanifold

1996-05-14

arxiv.org/abs/dg-ga/9605005v2

Mathematics

Differential Geometry

16 pages, AMS-TeX. This replacement contains only minor changes. Corollary 2.8 was wrong and has been removed. Proposition 2.9

Scientific paper

We derive some important geometric identities for Lagrangian submanifolds
immersed in a K\"ahler 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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