On the Structure of Equidistant Foliations of Euclidean Space

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dc.creatorBoltner, Christian
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:46:52Z
dc.date.available2026-07-07T08:46:52Z
dc.descriptionThis thesis is concerned with equidistant foliations of Euclidean space, i.e. partitions into complete, connected, properly embedded smooth submanifolds. The space of leaves is an Alexandrov space of nonnegative curvature and the canonical projection is a submetry. Generalizing a result of Gromoll and Walschap we show that an equidistant foliation always has an affine leaf and we prove homogeneneity of the foliation under certain additional assumptions. Moreover, we give several reducibility results and construct new (noncompact) inhomogeneous examples of equidistant foliations.
dc.descriptionPhD thesis at University of Augsburg, Germany (Advisor: Ernst Heintze); slightly revised version; 56 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0712.0245
dc.identifierhttp://arxiv.org/abs/0712.0245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143404
dc.subjectDifferential Geometry
dc.subject53C12; 53C20
dc.titleOn the Structure of Equidistant Foliations of Euclidean Space
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