Abstract
We study the moduli space of quaternionic Kähler structures on a compact manifold of dimension 4n < 12 from a point of view of Riemannian geometry, rather than that of twistor theory. Then we obtain a rigidity theorem for quaternionic Kähler structures of nonzero scalar curvature by observing the moduli space.
| Original language | English |
|---|---|
| Pages (from-to) | 1397-1419 |
| Number of pages | 23 |
| Journal | International Journal of Mathematics |
| Volume | 20 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2009 Nov |
| Externally published | Yes |
Keywords
- Quaternionic Kähler structure
- Rigidity theorem
- Special holonomy group
- Topological calibration
ASJC Scopus subject areas
- Mathematics(all)