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arXiv · 2506.00810

On the average scale-invariant Cassinian metric

Manas Mohapatra·Antti Rasila·Matti Vuorinen
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Abstract

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.

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Manas Mohapatra, Antti Rasila, Matti Vuorinen. 2025-07-28. On the average scale-invariant Cassinian metric. https://arxiv.org/abs/2506.00810

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