Graph bundles and Ricci-flatness
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866929712140386304 |
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| author | Li, Wenbo Liu, Shiping |
| author_facet | Li, Wenbo Liu, Shiping |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07938 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Graph bundles and Ricci-flatness Li, Wenbo Liu, Shiping Differential Geometry Combinatorics 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. |
| title | Graph bundles and Ricci-flatness |
| topic | Differential Geometry Combinatorics |
| url | https://arxiv.org/abs/2305.07938 |