On the holomorphicity of isometries of intrinsic metrics in complex analysis
| dc.creator | Seshadri, Harish | |
| dc.creator | Verma, Kaushal | |
| dc.date | 2005-05-13 | |
| dc.date | 2005-10-19 | |
| dc.date.accessioned | 2026-07-07T06:39:56Z | |
| dc.date.available | 2026-07-07T06:39:56Z | |
| dc.description | Let $\1$ and $\2$ be $\s$ domains in $\Cn$ and $f: \1 \rt \2$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that $f$ extends as a $C^1$ map to $ \bar \om_1$. We then prove that $f|_{\partial \1}: \partial \1 \rt \partial \2$ is a CR or anti-CR diffeomorphism. It follows that $\1$ and $\2$ must be biholomorphic or anti-biholomorphic. The main tool is a metric version of the Pinchuk rescaling technique. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505284 | |
| dc.identifier | http://arxiv.org/abs/math/0505284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101268 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32T15 | |
| dc.title | On the holomorphicity of isometries of intrinsic metrics in complex analysis | |
| dc.type | text |