Hypercomplex geometry (Q2715749)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hypercomplex geometry |
scientific article; zbMATH DE number 1599976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypercomplex geometry |
scientific article; zbMATH DE number 1599976 |
Statements
20 November 2001
0 references
Hopf surface
0 references
twistor space
0 references
hypercomplex geometry
0 references
Kähler-Weyl 4-manifolds
0 references
Swann bundle
0 references
Hypercomplex geometry (English)
0 references
It is known from Spindel et al. and Joyce that a homogeneous structure may be constructed on \(G\times T^k\) for \(G\) a compact Lie group. Using the twistorial description of hypercomplex geometry [\textit{H. Pedersen} and \textit{Y. S. Poon}, J. Reine Angew. Math. 516, 159-181 (1999; Zbl 0941.53033)] it is possible to obtain non-homogeneous structures on \(G\times T^k\). In this paper the author presents some aspects on hypercomplex geometry, Kähler-Weyl 4-manifolds and Swann bundle. Some examples are given.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00032].
0 references
