Holomorphic isometries into homogeneous bounded domains
نویسندگان
چکیده
We prove two rigidity theorems on holomorphic isometries into homogeneous bounded domains. The first shows that a Kähler-Ricci soliton induced by the metric of domain is trivial, i.e. Kähler-Einstein. In second one we and flat (definite or indefinite) complex Euclidean space are not relatives, they do share common Kähler submanifold (of positive dimension). Our extend results proved us earlier [Proc. Amer. Math. Soc. 149 (2021), pp. 4931–4941] Xiaoliang Cheng Yihong Hao [Ann. Global Anal. Geom. 60 167–180].
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/16335