A metric analogue of Hartogs’ theorem

نویسندگان

چکیده

In this paper we prove a metric version of Hartogs’ theorem where the holomorphic function is replaced by locally symmetric Hermitian metric. As an application, that if Kobayashi on strongly pseudoconvex domain with $${\mathcal {C}}^2$$ smooth boundary Kähler metric, then universal cover unit ball.

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ژورنال

عنوان ژورنال: Geometric and Functional Analysis

سال: 2022

ISSN: ['1420-8970', '1016-443X']

DOI: https://doi.org/10.1007/s00039-022-00615-6