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Projective flat manifolds of cyclic and dihedral holonomy

Published online by Cambridge University Press:  01 November 1998

N. J. MICHELACAKIS
Affiliation:
Rijksuniversiteit Groningen, Afdeling Wiskunde en Informatica, Postbus 800, 9700 AV, Groningen, Netherlands; e-mail: michel@math.rug.nl

Abstract

In this note, we classify the projective flat manifolds whose holonomy group is either a cyclic group Cp or dihedral D2p, with p prime. We give an estimate for the size of the set of their positive line bundles and construct explicitly and directly in terms of the representation space of the holonomy group some interesting imbeddings.

Type
Research Article
Copyright
© Cambridge Philosophical Society 1998

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