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A Decomposition Theorem for Complex Nilmanifolds

Published online by Cambridge University Press:  20 November 2018

Jean-Jacques Loeb ,
Karl Oeljeklaus  and
Wolfgang Richthofer
Jean-Jacques Loeb
Affiliation:
Ruhr-Universität Bochum Postfach 102148 4360 Bochum, W. Germany
Karl Oeljeklaus
Affiliation:
Ruhr-Universität Bochum Postfach 102148 4360 Bochum, W. Germany
Wolfgang Richthofer
Affiliation:
Ruhr-Universität Bochum Postfach 102148 4360 Bochum, W. Germany
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Abstract

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A complex nilmanifold X is isomorphic to a product X ⋍ ℂp x N/┌, where N is a simply connected nilpotent complex Lie group and ┌ is a discrete subgroup of N not contained in a proper connected complex subgroup of N. The pair (N, ┌) is uniquely determined up to holomorphic group isomorphisms.

Keywords

32M1032M05Complex nilmanifold
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 377 - 378
Copyright
Copyright © Canadian Mathematical Society 1987

References

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