
doi: 10.1090/proc/16743
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.
Nash algebraic, Local differential geometry of Hermitian and Kählerian structures, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Embedding theorems for complex manifolds, indefinite Kähler metrics, Fubini-study spaces, isometric embedding, complex submanifolds
Nash algebraic, Local differential geometry of Hermitian and Kählerian structures, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Embedding theorems for complex manifolds, indefinite Kähler metrics, Fubini-study spaces, isometric embedding, complex submanifolds
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