Einstein-Hermitian Bundles over Complex Surfaces

  • Francis J. Flaherty
Part of the NATO ASI Series book series (NSSB, volume 245)


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.


Vector Bundle Complex Manifold Abelian Variety Twistor Space Holomorphic Vector Bundle 


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  3. A. Blanchard, 1956, Sur les varietes analytiques complexes, Ann. Sci. E.N.S.. 173:1517–202.Google Scholar
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Francis J. Flaherty
    • 1
  1. 1.Department of MathematicsOregon State UniversityCorvallisUSA

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