Complex space forms immersed in complex space forms
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- by H. Nakagawa and K. Ogiue PDF
- Trans. Amer. Math. Soc. 219 (1976), 289-297 Request permission
Abstract:
We determine all the isometric immersions of complex space forms into complex space forms. Our result can be considered as the local version of a well-known result of Calabi.References
- Eugenio Calabi, Isometric imbedding of complex manifolds, Ann. of Math. (2) 58 (1953), 1–23. MR 57000, DOI 10.2307/1969817
- Koichi Ogiue, On Kaehler immersions, Canadian J. Math. 24 (1972), 1178–1182. MR 319117, DOI 10.4153/CJM-1972-126-0
- Koichi Ogiue, $n$-dimensional complex space forms immersed in $\{n+n(n+1)/2\}$-dimensional complex space forms, J. Math. Soc. Japan 24 (1972), 518–526. MR 310809, DOI 10.2969/jmsj/02430518
- Koichi Ogiue, Differential geometry of Kaehler submanifolds, Advances in Math. 13 (1974), 73–114. MR 346719, DOI 10.1016/0001-8708(74)90066-8
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 219 (1976), 289-297
- MSC: Primary 53B35
- DOI: https://doi.org/10.1090/S0002-9947-1976-0407756-3
- MathSciNet review: 0407756