On the lower bound of the curvature exponent on step-two Carnot groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918132793212928 |
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| author | Zhang, Ye |
| author_facet | Zhang, Ye |
| contents | In this work, we show that there exists a step-two Carnot group on which the new lower bound of the curvature exponent given in arXiv:2308.15811v2 can be strictly less than the curvature exponent by studying the convergence of the structure constants of Lie algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20005 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the lower bound of the curvature exponent on step-two Carnot groups Zhang, Ye Differential Geometry Metric Geometry 53C17, 53C23 In this work, we show that there exists a step-two Carnot group on which the new lower bound of the curvature exponent given in arXiv:2308.15811v2 can be strictly less than the curvature exponent by studying the convergence of the structure constants of Lie algebra. |
| title | On the lower bound of the curvature exponent on step-two Carnot groups |
| topic | Differential Geometry Metric Geometry 53C17, 53C23 |
| url | https://arxiv.org/abs/2504.20005 |