Geodesic orbit and naturally reductive nilmanifolds associated with graphs
Differential Geometry
2018-10-19 v1
Abstract
We study Riemannian nilmanifolds associated with graphs. We prove that such a nilmanifold is geodesic orbit if and only if it is naturally reductive if and only if its defining graph is the disjoint union of complete graphs and the left-invariant metric is generated by a certain naturally defined inner product.
Cite
@article{arxiv.1810.07920,
title = {Geodesic orbit and naturally reductive nilmanifolds associated with graphs},
author = {Y. Nikolayevsky},
journal= {arXiv preprint arXiv:1810.07920},
year = {2018}
}
Comments
9 pages, 1 figure