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arXiv · 1910.00978

Deformations of calibrated submanifolds with boundary

Alexei Kovalev
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Abstract

We review some results concerning the deformations of calibrated minimal submanifolds which occur in Riemannian manifolds with special holonomy. The calibrated submanifolds are assumed compact with a non-empty boundary which is constrained to move in a particular fixed submanifold. The results extend McLean's deformation theory previously developed for closed compact submanifolds.

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Alexei Kovalev. 2019-10-02. Deformations of calibrated submanifolds with boundary. https://arxiv.org/abs/1910.00978

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