Submanifolds of some Hartogs domain and the complex Euclidean space
Complex Variables
2022-06-07 v1
Abstract
Two Kahler manifolds are called relatives if they admit a common Kahler submanifold with the same induced metrics. In this paper, we show that a Hartogs domain over an irreducible bounded symmetric domain equipped with the Bergman metric is not a relative to the complex Euclidean space. This generalizes the results in [5, 4] and the novelty here is that the Bergman kernel of the Hartogs domain is not necessarily Nash algebraic.
Keywords
Cite
@article{arxiv.2206.02172,
title = {Submanifolds of some Hartogs domain and the complex Euclidean space},
author = {Xu Zhang and Donghai Ji},
journal= {arXiv preprint arXiv:2206.02172},
year = {2022}
}