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has gloss | eng: In mathematics, a Spin(7)-manifold is an eight-dimensional Riemannian manifold with the exceptional holonomy group Spin(7). Spin(7)-manifolds are Ricci-flat and admit a parallel spinor. They also admit a parallel 4-form which is a calibrating form for a special class of submanifolds called Cayley cycles. The deformation theory of such submanifolds was first investigated by R. McLean. |
lexicalization | eng: Spin(7) manifold |
lexicalization | eng: Spin(7)-manifold |
instance of | c/Structures on manifolds |
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