Abstract
We study Grassmannian bundles script g signk (M) of analytical 2k-planes over an almost Hermitian manifold M2n, from the point of view of the generalized twistor spaces of [13], and with the method of the moving frame [9]. script g sign1(M4) is the classical twistor space. We find four distinguished almost Hermitian structures, one of them being that of [13], and discuss their integrability and Kählerianity. For n = 2, we compute the corresponding Hermitian connections, and derive consequences about the corresponding first Chern classes.
Original language | English |
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Pages (from-to) | 335-356 |
Number of pages | 22 |
Journal | Annals of Global Analysis and Geometry |
Volume | 16 |
Issue number | 4 |
DOIs | |
State | Published - 1998 |
Keywords
- Bochner-flat Kähler manifolds
- Twistor spaces
ASJC Scopus subject areas
- Analysis
- Political Science and International Relations
- Geometry and Topology