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https://dspace.iiti.ac.in/handle/123456789/6675
| Title: | Geometry of the Cassinian Metric and Its Inner Metric |
| Authors: | Sahoo, Swadesh Kumar |
| Issue Date: | 2017 |
| Publisher: | Springer Singapore |
| Citation: | Ibragimov, Z., Mohapatra, M. R., Sahoo, S. K., & Zhang, X. (2017). Geometry of the cassinian metric and its inner metric. Bulletin of the Malaysian Mathematical Sciences Society, 40(1), 361-372. doi:10.1007/s40840-015-0246-6 |
| Abstract: | The Cassinian metric and its inner metric have been studied for subdomains of the n-dimensional Euclidean space Rn (n≥ 2) by the first named author. In this paper we obtain various inequalities between the Cassinian metric and other related metrics in some specific subdomains of Rn. Also, a sharp distortion property of the Cassinian metric under Möbius transformations of the unit ball is obtained. © 2015, Malaysian Mathematical Sciences Society and Universiti Sains Malaysia. |
| URI: | https://doi.org/10.1007/s40840-015-0246-6 https://dspace.iiti.ac.in/handle/123456789/6675 |
| ISSN: | 0126-6705 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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