Einstein-Hermitian Bundles over Complex Surfaces
The notion of an Einstein-Hermitian bundle over a complex manifold has proved to be extremely useful both in algebraic geometry and in superstring theory. In algebraic geometry it has provided a means by which the set of all holomorphic vector bundles on a complex manifold can be studied. In superstring theory it has yielded a way to generalize the Yang-Mills fields to high dimensional complex manifolds.
KeywordsVector Bundle Complex Manifold Abelian Variety Twistor Space Holomorphic Vector Bundle
Unable to display preview. Download preview PDF.
- A. Blanchard, 1956, Sur les varietes analytiques complexes, Ann. Sci. E.N.S.. 173:1517–202.Google Scholar