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 language | English (US) |
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Pages (from-to) | 2541-2550 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 152 |
Issue number | 6 |
DOIs | |
State | Published - Apr 20 2024 |
Keywords
- Complex submanifolds
- Fubini-Study spaces
- indefinite Kähler metrics
- isometric embedding
- Nash algebraic
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics