Affiliation:
1. Center for Complex Geometry Institute for Basic Science Daejeon South Korea
2. Department of Mathematics Kyungpook National University Daegu South Korea
Abstract
AbstractIn 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.
Funder
Institute for Basic Science
Ministry of Education
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