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Holomorphic helices in a complex space form


Authors: Sadahiro Maeda and Toshiaki Adachi
Journal: Proc. Amer. Math. Soc. 125 (1997), 1197-1202
MSC (1991): Primary 53C35, 53C20
DOI: https://doi.org/10.1090/S0002-9939-97-03627-7
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 [Enhancements On Off] (What's this?)

  • 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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Additional Information

Sadahiro Maeda
Affiliation: Department of Mathematics, Shimane University, Matsue, Shimane, 690, Japan
Email: smaeda@botan.shimane-u.ac.jp

Toshiaki Adachi
Affiliation: Department of Mathematics, Nagoya Institute of Technology, Gokiso, Nagoya, 466, Japan
Email: d43019a@nucc.cc.nagoya-u.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-97-03627-7
Keywords: Holomorphic helix, complex torsion, complex space form
Received by editor(s): February 16, 1995
Received by editor(s) in revised form: August 30, 1995
Communicated by: Christopher B. Croke
Article copyright: © Copyright 1997 American Mathematical Society

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