Abstract
We present a general construction of naturally reductive spaces. For most of these spaces the naturally reductive structure is not induced from a normal homogeneous structure. First the infinitesimal models of these spaces are constructed. To these we apply the Nomizu construction to describe explicitly a transitive group of isometries and the naturally reductive structure with respect to this group action.
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STORM, R. A NEW CONSTRUCTION OF NATURALLY REDUCTIVE SPACES. Transformation Groups 23, 527–553 (2018). https://doi.org/10.1007/s00031-017-9446-5
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DOI: https://doi.org/10.1007/s00031-017-9446-5