References
- C. Baikoussis and D. E. Blair, On the Gauss map of ruled surfaces, Glasgow Math. J. 34 (1992), no. 3, 355-359. https://doi.org/10.1017/S0017089500008946
- C. Baikoussis, B. Y. Chen, and L. Verstraelen, Ruled surfaces and tubes with finite type Gauss map, Tokyo J. Math. 16 (1993), no. 2, 341-349. https://doi.org/10.3836/tjm/1270128488
- C. Baikoussis and L. Verstraelen, On the Gauss map of helicoidal surfaces, Rend. Sem. Mat. Messina Ser. II 2 (16) (1993), 31-42.
- B. Y. Chen, Total Mean Curvature and Submanifolds of Finite Type, Series in Pure Mathematics, 1. World Scientific Publishing Co., Singapore, 1984.
- B. Y. Chen, Finite Type Submanifolds and Generalizations, Universita degli Studi di Roma "La Sapienza", Istituto Matematico "Guido Castelnuovo", Rome, 1985.
- B. Y. Chen, M. Choi, and Y. H. Kim, Surfaces of revolution with pointwise 1-type Gauss map, J. Korean Math. Soc. 42 (2005), no. 3, 447-455. https://doi.org/10.4134/JKMS.2005.42.3.447
- B. Y. Chen and S. Ishikawa, On classification of some surfaces of revolution of finite type, Tsukuba J. Math. 17 (1993), no. 1, 287-298.
- B. Y. Chen and P. Piccinni, Submanifolds with finite type Gauss map, Bull. Austral. Math. Soc. 35 (1987), no. 2, 161-186. https://doi.org/10.1017/S0004972700013162
- M. Choi and Y. H. Kim, Characterization of the helicoid as ruled surfaces with pointwise 1-type Gauss map, Bull. Korean Math. Soc. 38 (2001), no. 4, 753-761.
- M. P. do Carmo and M. Dajczer, Helicoidal surfaces with constant mean curvature, Tohoku Math. J. (2) 34 (1982), no. 3, 425-435. https://doi.org/10.2748/tmj/1178229204
- Y. H. Kim and D. W. Yoon, Ruled surfaces with finite type Gauss map in Minkowski spaces, Soochow J. Math. 26 (2000), no. 1, 85-96.
- Y. H. Kim and D. W. Yoon, Ruled surfaces with pointwise 1-type Gauss map, J. Geom. Phys. 34 (2000), no. 3-4, 191-205. https://doi.org/10.1016/S0393-0440(99)00063-7
- Y. H. Kim and D. W. Yoon, On the Gauss map of ruled surfaces in Minkowski space, Rocky Mountain J. Math. 35 (2005), no. 5, 1555-1581. https://doi.org/10.1216/rmjm/1181069651
- W. Seaman, Helicoids of constant mean curvature and their Gauss maps, Pacific J. Math. 110 (1984), no. 2, 387-396. https://doi.org/10.2140/pjm.1984.110.387
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