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https://dspace.iiti.ac.in/handle/123456789/6667
| Title: | Geometric properties of the Cassinian metric |
| Authors: | Sahoo, Swadesh Kumar |
| Issue Date: | 2017 |
| Publisher: | Wiley-VCH Verlag |
| Citation: | Klén, R., Mohapatra, M. R., & Sahoo, S. K. (2017). Geometric properties of the cassinian metric. Mathematische Nachrichten, 290(10), 1531-1543. doi:10.1002/mana.201600117 |
| Abstract: | In this paper we prove a sharp distortion property of the Cassinian metric under Möbius transformations of a punctured ball onto another punctured ball. The paper also deals with discussion on local convexity properties of the Cassinian metric balls in proper subdomains of RN. Inclusion properties of the Cassinian metric balls with other hyperbolic-type metric balls are also investigated. In particular, several conjectures are also stated in response to sharpness of the inclusion relations. © 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |
| URI: | https://doi.org/10.1002/mana.201600117 https://dspace.iiti.ac.in/handle/123456789/6667 |
| ISSN: | 0025-584X |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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