Holomorphic isometric embeddings of the projective space into quadrics
Holomorphic isometric embeddings of the projective space into quadrics
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DOI：
10.1007/s10711-022-00689-4
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发表时间：
2014-08
影响因子：
0.5
通讯作者：
Yasuyuki Nagatomo
中科院分区：
文献类型：
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作者：
Yasuyuki Nagatomo
我们利用Do Carmo-Wallach理论的推广[调和映射到Grassmann流形，arxiv：mathDG/1408.1504[mathDG]，全纯映射到Grassmann流形(调和映射到Grassmann流形III)，全球分析和几何年报60，33-63(2021年)]，将射影空间的全纯等距嵌入分类为二次曲面。给出了它们的模空间一直到像等价和规范等价的显式刻画。
We classify holomorphic isometric embeddings of the projective space into quadrics using the generalization of do Carmo–Wallach theory in Nagatomo [Harmonic maps into Grassmann manifolds, arXiv:mathDG/1408.1504[mathDG], Holomorphic maps into Grassmann manifolds (Harmonic maps into Grassmann manifolds III), Annals of Global analysis and Geometry60, 33–63 (2021). An explicit description of their moduli spaces up to image and gauge equivalence is provided.