Proceedings of the Japan Academy, Series A, Mathematical Sciences

A characterization of the second Veronese embedding into a complex projective space

Toshiaki Adachi and Sadahiro Maeda

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We study curves of order 2 from the viewpoint of submanifold theory. We give a characterization of the parallel Kähler embeddings of a complex projective space into an ambient complex projective space from this point of view. This characterization is an improvement of the results in [N, PS].

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 77, Number 7 (2001), 99-102.

First available in Project Euclid: 23 May 2006

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53B25: Local submanifolds [See also 53C40]
Secondary: 53C40: Global submanifolds [See also 53B25]

Veronese embedding curves of order 2 complex projective spaces


Maeda, Sadahiro; Adachi, Toshiaki. A characterization of the second Veronese embedding into a complex projective space. Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 7, 99--102. doi:10.3792/pjaa.77.99.

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