G2 Manifold - History

History

Manifold with holonomy was firstly introduced by Edmond Bonan in 1966, who constructed the parallel 3-form, the parallel 4-form and showed that this manifold was Ricci-flat. The first complete, but noncompact 7-manifolds with holonomy were constructed by Robert Bryant and Salamon in 1989. The first compact 7-manifolds with holonomy were constructed by Dominic Joyce in 1994, and compact manifolds are sometimes known as "Joyce manifolds", especially in the physics literature.

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