참고문헌
- 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 maps, Tokyo J. Math. 16 (1993), no. 2, 341-349. https://doi.org/10.3836/tjm/1270128488
- B.-Y. Chen, On submanifolds of finite type, Soochow J. Math. 9 (1983), 17-33.
- B.-Y. Chen, Total Mean Curvature and Submanifolds of Finite Type, World Scientific, Publ. New Jersey, 1984.
- B.-Y. Chen, A report on submanifolds of finite type, Soochow J. Math. 22 (1996), no. 2, 117-337.
- 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 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. Choi, D.-S. Kim, and Y. H. Kim, Helicoidal surfaces with pointwise 1-type Gauss map, J. Korean Math. Soc. 46 (2009), no. 1, 215-223. https://doi.org/10.4134/JKMS.2009.46.1.215
- Y. H. Kim, C. W. Lee, and D. W. Yoon, On the Gauss map of surfaces of revolution without parabolic points, Bull. Korean Math. Soc. 46 (2009), no. 6, 1141-1149. https://doi.org/10.4134/BKMS.2009.46.6.1141
- 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
- A. Niang, Rotation surfaces with 1-type Gauss map, Bull. Korean Math. Soc. 42 (2005), no. 1, 23-27. https://doi.org/10.4134/BKMS.2005.42.1.023
- A. Niang, On rotation surfaces in the Minkowski 3-dimensional space with pointwise 1- type Gauss map, J. Korean Math. Soc. 41 (2004), no. 6, 1007-1021. https://doi.org/10.4134/JKMS.2004.41.6.1007
- B. O'Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983.
피인용 문헌
- Helicoidal surfaces satisfying $${\Delta ^{II}\mathbf{G}=f(\mathbf{G}+C)}$$ Δ II G = f ( G + C ) vol.107, pp.3, 2016, https://doi.org/10.1007/s00022-015-0284-0