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Isotropic Immersions with Low Codimension of Complex Space Forms into Real Space Forms

Published online by Cambridge University Press:  20 November 2018

Nobutaka Boumuki
Nobutaka Boumuki*
Affiliation:
Department of Mathematics Shimane University Matsue 690-8504 Japan, e-mail: boumuki@math.shimane-u.ac.jp
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Abstract

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The main purpose of this paper is to determine isotropic immersions of complex space forms into real space forms with low codimension. This is an improvement of a result of S. Maeda.

Keywords

53B2553C35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 492 - 503
Copyright
Copyright © Canadian Mathematical Society 2004

References

[1] Ferus, D., Immersions with parallel second fundamental form. Math. Z. 140 (1974), 87–93.Google Scholar
[2] Ferus, D., Symmetric submanifolds of Euclidean space. Math. Ann. 247 (1980), 81–93.Google Scholar
[3] Maeda, S., Isotropic immersions with parallel second fundamental form. Canad.Math. Bull. 26 (1983), 291–296.Google Scholar
[4] Maeda, S., Remarks on isotropic immersion., Yokohama Math. J. 34 (1986), 83–90.Google Scholar
[5] Maeda, S., Isotropic immersions. Canad. J. Math. 38 (1986), 416–430.Google Scholar
[6] O’Neill, B., Isotropic and Kähler immersions. Canad. J. Math. 17 (1965), 905–915.Google Scholar
[7] Sakamoto, K., Planar geodesic immersions. Tôhoku Math. J. 29 (1977), 25–56.Google Scholar
[8] Takahashi, T.,Minimal immersions of Riemannian manifolds. J.Math. Soc. Japan 18 (1966), 380–385.Google Scholar
[9] Takeuchi, M., Parallel submanifolds of space forms. In: Manifolds and Lie Groups. Birkhäuser, Boston 1981, pp. 429–447.Google Scholar
[10] Tsukada, K., Helical geodesic immersions of compact rank one symmetric spaces into spheres. Tokyo J. Math. 6 (1983), 267–285.Google Scholar