Graph bundles and Ricci-flatness

Published 13 May 2023 in math.DG and math.CO | (2305.07938v2)

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.

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