Graph bundles and Ricci-flatness
Differential Geometry
2025-02-14 v2 Combinatorics
Abstract
We develop a systematical way of constructing S-Ricci flat graphs which are not Abelian Cayley via graph bundle with explicit examples. For this purpose, we prove that, with some natural constrains, a non-trivial graph bundle can not be isomorphic (as graphs) to the product of the base graph and fiber graph. It stands in clear contrast to the continuous case.
Keywords
Cite
@article{arxiv.2305.07938,
title = {Graph bundles and Ricci-flatness},
author = {Wenbo Li and Shiping Liu},
journal= {arXiv preprint arXiv:2305.07938},
year = {2025}
}
Comments
We add an assumption in the statement of Theorem 3 and 4 which was omitted in the previous version and also a new example