๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Twistor spaces

โœ Scribed by N. R. O'Brian; J. H. Rawnsley

Publisher
Springer
Year
1985
Tongue
English
Weight
772 KB
Volume
3
Category
Article
ISSN
0232-704X

No coin nor oath required. For personal study only.

โœฆ Synopsis

We examine the question of the integrability of natural almost complex structures in certain fibre bundles which generalize to arbitrary (even) dimensions the four-dimensional Penrose twistor theory. An important example is provided by the Grassmann bundles of subspaces of the tangent bundle of an almost Hermitian manifold.

We show in particular that for Kaehler manifolds the only obstruction to integrability is the Bochner component of the curvature tensor.

๐Ÿ“œ SIMILAR VOLUMES

Symplectic twistor spaces
Symplectic twistor spaces
โœ Izu Vaisman ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 835 KB

The paper describes the geometry of the bundle ~(M, w) of the compatible complex structures of the tangent spaces of an (almost) symplectic manifold (M, u,), from the viewpoint of general twistor spaces [3], [9], [1],Itis shown that M has an either complex or almost Kaehler twistor space 1ff it has

Symplectic twistor spaces
Symplectic twistor spaces
โœ Alexander G. Reznikov ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Springer ๐ŸŒ English โš– 557 KB
Holomorphic isometries of twistor spaces
Holomorphic isometries of twistor spaces
โœ Costantino Medori; Adriano Tomassini ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 72 KB

Let Z g (M) be the twistor space over an oriented 2n-dimensional Riemannian manifold (M, g) with nonpositive and parallel Ricci tensor. Let h and J be the natural metric and almost complex structure on Z g (M), respectively. We prove that any isometry of the twistor space Z g (M) preserves the horiz