Abstract
We begin with a review of the known examples of compact totally realn-dimensional submanifolds of ℂ n . We then construct some new families of examples, including some which are simply connected. We conclude by using these examples to construct bounded domains of holomorphy in ℂ n whose universal covering spaces are not biholomorphically equivalent to domains in ℂ n .
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Herrn Prof. Dr. Karl Stein gewidmet
Research supported in part by Grant MCS 8301142 from the National Science Foundation
Research supported in part by Grant MCS 8219229 from the National Science Foundation
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Stout, E.L., Zame, W.R. Totally real imbeddings and the universal covering spaces of domains of holomorphy: Some examples. Manuscripta Math 50, 29–48 (1985). https://doi.org/10.1007/BF01168826
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DOI: https://doi.org/10.1007/BF01168826