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About: Solvmanifold     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Whole100003553, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatStructuresOnManifoldsyago:Artifact100021939yago:Object100002684yago:PhysicalEntity100001930yago:YagoGeoEntityyago:YagoPermanentlyLocatedEntityyago:Structure104341686yago:Whole100003553 New Facet based on Instances of this Class

In mathematics, a solvmanifold is a homogeneous space of a connected solvable Lie group. It may also be characterized as a quotient of a connected solvable Lie group by a closed subgroup. (Some authors also require that the Lie group be simply-connected, or that the quotient be compact.)A special class of solvmanifolds, nilmanifolds, was introduced by Anatoly Maltsev, who proved the first structural theorems. Properties of general solvmanifolds are similar, but somewhat more complicated.