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arXiv · 1405.7886

Deformations of Compact Cayley Submanifolds with Boundary

Matthias Ohst
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Abstract

Let M be an 8-manifold with a Spin(7)-structure. We first show that closed Cayley submanifolds of M form a smooth moduli space for a generic Spin(7)-structure. Then we study the deformations of a compact, connected Cayley submanifold X of M with non-empty boundary contained in a given submanifold W of M such that X and W meet orthogonally. We show that they are rigid for a generic Spin(7)-structure. We further show that they are also rigid for a generic deformation of W.

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Matthias Ohst. 2014-05-30. Deformations of Compact Cayley Submanifolds with Boundary. https://arxiv.org/abs/1405.7886

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