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On the geometry of the base space of a metric fibration

✍ Scribed by Gerard Walschap


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
77 KB
Volume
16
Category
Article
ISSN
0926-2245

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✦ Synopsis


We investigate the geometry of Riemannian manifolds that arise as the base space of a Riemannian submersion with totally geodesic fibers.


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## Abstract We study some topological and metrical properties of configuration spaces. In particular, we introduce a family of metrics on the configuration space Ξ“, which makes it a Polish space. Compact functions on Ξ“ are also considered. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)