added pointer to

- Dominic Joyce,
*Compact Riemannian manifolds with exceptional holonomy*, Surveys in Differential Geometry Volume 6 (2001) (doi:10.4310/SDG.2001.v6.n1.a3)

added full publication data to

- Robert Bryant,
*Some remarks on $G_2$-structures*, Proceedings of the 12th Gökova Geometry-Topology Conference 2005, pp. 75-109 (arXiv:math/0305124, webpage, pdf)

NB, I don’t lack articles with examples, what I currently lack is the leisure/energy to extract them into the $n$Lab page.

]]>There are many articles on Johannes Nordström’s web page.

Here is another article with some more examples. They construct two G2 manifolds which are diffeomorphic but whose G2 structures are not homotopic, hence the title of the article.

Mark Haskins is another expert on G2 manifolds, though I can’t seem to find his webpage.

]]>I want this entry to have an actual section on construction of (compact) Examples, so I started one (here). But so far there is nothing in there apart from pointers to the original articles by Joyce and Kovalev, and a graphics illustrating Kovalev’s twisted connected sums.

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