Talk:Quaternion-Kähler manifold

Definition and terminology

The definition "quaternion-Kahler manifold is a topological manifold which has three almost complex structures which are not covariantly constant" is very much wrong. In fact, none of known examples of compact quaternionic-Kaehler manifolds ( $\mathbb {H} P^{n}$ etc) admit an almost complex structure.

Also, quaternion-Kahler (arxiv.org: 30 instances) should be probably dropped in favour of more conventional quaternionic Kahler (arxiv.org: 73).

On the other hand, the term quaternionic Kahler is accepted, but quite misleading: these manifolds are NOT Kaehler. --Tiphareth 09:35, 18 April 2006 (UTC)[reply]

please go ahead and take the actions you deem appropriate. --MarSch 08:54, 19 April 2006 (UTC)[reply]

I decided that Wikipedia might be used to set a good example. The "quaternionic Kahler" term is simply atrocious, so let's use one that's not accepted, but correct. --Tiphareth 16:50, 24 April 2006 (UTC)[reply]

Sp(n)Sp(1)

I think this article should definitely explain what Sp(n)Sp(1) means. Otherwise it is confusing for the uninformed reader (Sp(1) is a subgroup of Sp(n)) --Seub (talk) 16:39, 18 March 2015 (UTC)[reply]

Assessment comment

The comment(s) below were originally left at Talk:Quaternion-Kähler manifold/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

Plenty to expand on here: twistor theory, invariant operators, topology, quaternion-Kahler quotients. Geometry guy 21:03, 17 September 2008 (UTC)[reply]

Last edited at 21:03, 17 September 2008 (UTC). Substituted at 02:32, 5 May 2016 (UTC)