Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255431 | Journal of Geometry and Physics | 2018 | 26 Pages |
Abstract
We prove that apart from the already classified non-reductive examples (Calvaruso et al., 2015), any four-dimensional pseudo-Riemannian g.o. manifold is naturally reductive. To obtain this result, we shall also provide a complete description up to isometries of four-dimensional pseudo-Riemannian g.o. spaces, and show explicit realizations of the four-dimensional pseudo-Riemannian naturally reductive spaces classified in Batat et al. (2015).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Giovanni Calvaruso, Amirhesam Zaeim,