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arXiv · 1704.08226

From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness

Jason D. Lotay·Tommaso Pacini
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Abstract

Given a minimal Lagrangian submanifold L in a negative Kaehler--Einstein manifold M, we show that any small Kaehler--Einstein perturbation of M induces a deformation of L which is minimal Lagrangian with respect to the new structure. This provides a new source of examples of minimal Lagrangians. More generally, the same is true for the larger class of totally real J-minimal submanifolds in Kaehler manifolds with negative definite Ricci curvature.

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Jason D. Lotay, Tommaso Pacini. 2018-08-30. From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness. https://doi.org/10.1007/s40574-018-0183-z

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