Abstract
Abstract
A Riemannian manifold is called weakly symmetric if any two points in M can be interchanged by an isometry. We give a complete classification of simply connected non-singular weakly symmetric nilmanifolds. Besides previously known examples, there are new families with 3-dimensional center, and a one-parameter family of dimensions 14.
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@article{Nikolayevsky2026singular,
title = {Non-singular weakly symmetric nilmanifolds},
author = {Y. Nikolayevsky and Wolfgang Ziller},
journal = {Journal of Lie theory},
year = {2026},
doi = {10.5802/jolt.1424},
url = {https://doi.org/10.5802/jolt.1424}
}
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