, Volume 30, Issue 1, pp 93-114

Helical geodesic immersions into complex space forms

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Abstract

This paper consists of two parts. One is to construct a class of helical geodesic equivariant immersions of orderd(⩾3), which are neither Kaehler nor totally real immersions, into complex projective spaces. The other is to show the basic results about a helix in complex space forms.

This research was partially supported by Grants-in-Aid for Scientific Research (Nos 62740070 and 62740054), Ministry of Education, Science and Culture and by the Max-Planck-Institut für Mathematik in Bonn.