A new construction of naturally reductive spaces

2016/05/02 by Reinier Storm, Storm, Reinier
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1605.00432

arxiv created 2016/05/02 · arxiv updated 2016/05/03

Abstract

A new construction of naturally reductive spaces is presented. This construction gives a large amount of new families of naturally reductive spaces. First the infinitesimal models of the new naturally reductive spaces are constructed. A concrete transitive group of isometries is given for the new spaces and also the naturally reductive structure with respect to this group is explicitly given.

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