Sarkar, AD and Verma, K (2021) On the hurwitz metric. In: Kodai Mathematical Journal, 44 (1). pp. 126-136.
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Official URL: https://doi.org/10.2996/kmj44108
Abstract
The Hurwitz metric was recently defined by Minda by considering a variational problem that involves holomorphic maps from the disc that are globally injective at the origin. In this note, sharp boundary estimates for this metric are obtained on C2-smooth planar domains and as a consequence, it is shown that it is uniformly comparable with the Carathéodory and Kobayashi metrics on such domains. In addition, estimates for the generalized curvatures of this metric are also given. © 2021, Tokyo Institute of Technology. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Kodai Mathematical Journal |
| Publisher: | Tokyo Institute of Technology |
| Additional Information: | The copyright for this article belongs to Tokyo Institute of Technology |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 09 Jul 2021 06:57 |
| Last Modified: | 09 Jul 2021 06:57 |
| URI: | http://eprints.iisc.ac.in/id/eprint/68744 |
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