Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains
In this paper, we study the holomorphicity of totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. First, we show that for a ‐smooth totally geodesic Kobayashi isometric embedding where , are bounded symmetric domains, if is irreducible and or more generally, for any ta...
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| Published in: | Journal of the London Mathematical Society Vol. 109; no. 3 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
01.03.2024
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| ISSN: | 0024-6107, 1469-7750 |
| Online Access: | Get full text |
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| Summary: | In this paper, we study the holomorphicity of totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. First, we show that for a ‐smooth totally geodesic Kobayashi isometric embedding where , are bounded symmetric domains, if is irreducible and or more generally, for any tangent vector of , then is either holomorphic or anti‐holomorphic. Second, we characterize Kobayashi isometries from a reducible bounded symmetric domain to itself. |
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| ISSN: | 0024-6107 1469-7750 |
| DOI: | 10.1112/jlms.12882 |