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arXiv · 2601.00203

The K\"ahler submanifolds between the ball bundles and the complex Euclidean space

Mingming Chen·Yihong Hao·An Wang
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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.

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Mingming Chen, Yihong Hao, An Wang. 2026-01-01. The K\"ahler submanifolds between the ball bundles and the complex Euclidean space. https://arxiv.org/abs/2601.00203

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