On the average scale-invariant Cassinian metric
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918105171623936 |
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| author | Mohapatra, Manas Rasila, Antti Vuorinen, Matti |
| author_facet | Mohapatra, Manas Rasila, Antti Vuorinen, Matti |
| contents | We establish geometric relationships between the average scale-invariant Cassinian metric and other hyperbolic type metrics. In addition, we study the local convexity properties of the scale-invariant metric balls in Euclidean once punctured spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00810 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the average scale-invariant Cassinian metric Mohapatra, Manas Rasila, Antti Vuorinen, Matti Metric Geometry Complex Variables 30F45, 51M05, 51M10 We establish geometric relationships between the average scale-invariant Cassinian metric and other hyperbolic type metrics. In addition, we study the local convexity properties of the scale-invariant metric balls in Euclidean once punctured spaces. |
| title | On the average scale-invariant Cassinian metric |
| topic | Metric Geometry Complex Variables 30F45, 51M05, 51M10 |
| url | https://arxiv.org/abs/2506.00810 |