Holomorphic helices in a complex space form
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- by Sadahiro Maeda and Toshiaki Adachi PDF
- Proc. Amer. Math. Soc. 125 (1997), 1197-1202 Request permission
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
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- Sing Long Hong, Isometric immersions of manifolds with plane geodesics into Euclidean space, J. Differential Geometry 8 (1973), 259–278. MR 388285
- Sadahiro Maeda and Yoshihiro Ohnita, Helical geodesic immersions into complex space forms, Geom. Dedicata 30 (1989), no. 1, 93–114. MR 995941, DOI 10.1007/BF02424315
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
- Received by editor(s): February 16, 1995
- Received by editor(s) in revised form: August 30, 1995
- Communicated by: Christopher B. Croke
- © Copyright 1997 American Mathematical Society
- 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