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Transmission Problems for Holomorphic Fiber Bundles

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Proceedings of the Conference on Complex Analysis

Abstract

In a previous paper ([9]) the author considered transmission problems for holomorphic fiber bundles over Riemann surfaces and families of Riemann surfaces. In this context the question arose as to how to treat analogous problems for fiber bundles over complex spaces X. The situation in higher dimensional complex spaces is by necessity different from the one dimensional case since only in more than one complex dimension the phenomenon of pseudoconvexity appears. At the same time it turned out to be desirable to deal with a more general geometric and analytic situation as in [9], thus making it possible to interpret “topologically correct” transmission problems as cycles in a certain homology theory, so that two such topological transmission problems are isomorphic if the corresponding cycles are homologous.

This research was supported by the Air Force Office of Scientific Research.

Received June 15, 1964.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Minnesota, Minneapolis, Minn., USA

    H. Röhrl

  2. Department of Mathematics, University of California at San Diego, La Jolla, Cal., USA

    H. Röhrl

Authors
  1. H. Röhrl
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Editor information

Editors and Affiliations

  1. School of Mathematics, Institute of Technology, University of Minnesota, Minneapolis, USA

    Alfred Aeppli

  2. Department of Mathematics, University of Pennsylvania, Philadelphia, USA

    Eugenio Calabi

  3. Department of Mathematics, University of California at San Diego, La Jolla, USA

    Helmut Röhrl

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© 1965 Springer-Verlag Berlin · Heidelberg

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Röhrl, H. (1965). Transmission Problems for Holomorphic Fiber Bundles. In: Aeppli, A., Calabi, E., Röhrl, H. (eds) Proceedings of the Conference on Complex Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48016-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-48016-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-48018-8

  • Online ISBN: 978-3-642-48016-4

  • eBook Packages: Springer Book Archive

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