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Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains

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Title
Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains
Author(s)
Sung-Yeon Kim; Seo, Aeryeong
Publication Date
2024-03
Journal
Journal of the London Mathematical Society, v.109, no.3
Publisher
Oxford University Press
Abstract
In this paper, we study the holomorphicity of totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. First, we show that for a (Formula presented.) -smooth totally geodesic Kobayashi isometric embedding (Formula presented.) where (Formula presented.), (Formula presented.) are bounded symmetric domains, if (Formula presented.) is irreducible and (Formula presented.) or more generally, (Formula presented.) for any tangent vector (Formula presented.) of (Formula presented.), then (Formula presented.) is either holomorphic or anti-holomorphic. Second, we characterize (Formula presented.) Kobayashi isometries from a reducible bounded symmetric domain to itself. © 2024 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
URI
https://pr.ibs.re.kr/handle/8788114/15087
DOI
10.1112/jlms.12882
ISSN
0024-6107
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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