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Seifert fiberings and collapsing of infrasolv spaces. [Preprint]

Baues, Oliver; Tuschmann, Wilderich

We give a purely geometrical smooth characterization of closed infrasolv manifolds and orbifolds by showing that, up to diffeomorphism, these are precisely the spaces which admit a collapse with bounded curvature and diameter to compact flat orbifolds. Moreover, we distinguish irreducible smooth fake tori geometrically from standard ones by proving that the former have non-vanishing D-minimal volume.

Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2012
Sprache Englisch
Identifikator KITopen ID: 1000051290
Erschienen in arXiv [math.DG]
Seiten arXiv:1209.2450
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