Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Holomorphic helices in a complex space form

Author(s): Sadahiro Maeda; Toshiaki Adachi
Journal: Proc. Amer. Math. Soc. 125 (1997), 1197-1202.
MSC (1991): Primary 53C35, 53C20
MathSciNet review: 1353391
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Abstract: In a complex space form $M$ we shall investigate a smooth curve $\gamma$ which is generated by a holomorphic Killing vector field $X$ on $M$ .

References:

1.: D. Ferus and S. Schirrmacher, Submanifolds in Euclidean space with simple geodesics, Math. Ann. 260 (1982), 57-62. MR 83j:53002
2.: S. L. Hong, Isometric immersions of manifolds with planar geodesics into Euclidean space, J. Diff. Geom. 8 (1973), 259-278. MR 52:9122
3.: S. Maeda and Y. Ohnita, Helical geodesic immersions into complex space forms, Geometriae Dedicata 30 (1989), 93-114. MR 90b:53067

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