不定复数空间形式的复数子线面

Pub Date : 2024-04-25 DOI:10.1090/proc/16743

Xiaoliang Cheng, Yihong Hao, Yuan Yuan, Xu Zhang

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引用次数: 0

摘要

在这篇短文中，我们推导出梅原代数的一个新结果。因此，我们证明了一个不定复双曲空间和一个不定复投影空间不共享一个具有诱导度量的共同复子平面，回答了 Cheng 等人提出的一个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Complex submanifolds of indefinite complex space forms

In this short paper, we derive a new result on Umehara algebra. As a consequence, we prove that an indefinite complex hyperbolic space and an indefinite complex projective space do not share a common complex submanifold with induced metrics, answering a question raised in Cheng et al.

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