COMPLEX SUBMANIFOLDS OF INDEFINITE COMPLEX SPACE FORMS

Xiaoliang Cheng, Yihong Hao, Yuan Yuan, Xu Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2541-2550
Number of pages10
JournalProceedings of the American Mathematical Society
Volume152
Issue number6
DOIs
StatePublished - Apr 20 2024

Keywords

  • Complex submanifolds
  • Fubini-Study spaces
  • indefinite Kähler metrics
  • isometric embedding
  • Nash algebraic

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'COMPLEX SUBMANIFOLDS OF INDEFINITE COMPLEX SPACE FORMS'. Together they form a unique fingerprint.

Cite this