The K\"ahler submanifolds between the ball bundles and the complex Euclidean space
Complex Variables
2026-01-05 v1
Abstract
In this paper, we provide a sufficient condition on the non-existence of the common K\"ahler submanifolds between the complex Euclidean space and the ball bundles of some Hermitian vector bundles over K\"ahler manifolds. Then we get the non-existence theorems on several classes of ball bundles whose base spaces are Hermitian symmetric spaces or the complete K\"ahler-Einstein manifolds.
Keywords
Cite
@article{arxiv.2601.00203,
title = {The K\"ahler submanifolds between the ball bundles and the complex Euclidean space},
author = {Mingming Chen and Yihong Hao and An Wang},
journal= {arXiv preprint arXiv:2601.00203},
year = {2026}
}