참고문헌
- A. T. Ali, Position vectors of curves in the Galilen Space 𝔾3, Matematicki Vesnik, 64(2012), 200-210.
- L. J. Alias and N. Gurbuz, An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures, Geom. Dedicata, 121(2006), 113-127. https://doi.org/10.1007/s10711-006-9093-9
- K. Arslan and B. (Kilic) Bayram, B. Bulca, Y. H. Kim, C. Murathan and G. Ozturk, Rotational embeddings in 𝔼4 with pointwise 1-type Gauss map, Turk. J. Math., 35(2011), 493-499. https://doi.org/10.3906/mat-0910-59
- K. Arslan, B. (Kilic) Bayram, B. Bulca, Y. H. Kim, C. Murathan and G. Ozturk, Vranceanu surface in 𝔼4 with pointwise 1-type Gauss map, Indian J. Pure Appl. Math., 42(2011), 41-51. https://doi.org/10.1007/s13226-011-0003-y
- B. Bulca, K. Arslan, B. Bayram and G. Ozturk, Canal surfaces in 4-dimensional Euclidean Space, Libertas Mathematica, 32(2012), 1-13. https://doi.org/10.14510/lm-ns.v32i1.39
- 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 and P. Piccinni, Submanifolds with finite type Gauss map, Bull. Austral. Math. Soc., 35(1987), 161-186. https://doi.org/10.1017/S0004972700013162
- S. Y. Cheng and S. T. Yau, Hypersurfaces with constant scalar curvature, Math. Ann., 225(1977), 195-204. https://doi.org/10.1007/BF01425237
- M. Dede, Tubular surfaces in Galilean space, Math. Commun., 18(1)(2013), 209-217.
- S. M. B. Kashani, On some L1-finite type (hyper)surfaces in ℝn+1, Bull. Korean Math. Soc., 46(2009), 35-43. https://doi.org/10.4134/BKMS.2009.46.1.035
- Y. H. Kim and N. C. Turgay, Surfaces in 𝔼3 with L1-pointwise 1-type Gauss map, Bull. Korean Math. Soc., 50(3)(2013), 935-949. https://doi.org/10.4134/BKMS.2013.50.3.935
- Y. H. Kim and N. C. Turgay, On the ruled surfaces with L1-pointwise 1-type Gauss map, Kyungpook Math. J., 57(1)(2017), 133-144. https://doi.org/10.5666/KMJ.2017.57.1.133
- I. Kisi and G. Ozturk, A new approach to canal surface with parallel transport frame, Int. J. Geom. Methods Mod. Phys., 14(2)(2017), 1-16.
- I. Kisi and G. Ozturk, Tubular surface having pointwise 1-type Gauss map in Euclidean 4-space, Int. Electron. J. Geom., 12(2019), 202-209. https://doi.org/10.36890/iejg.628083
- I. Kisi, G. Ozturk and K. Arslan, A new type of canal surface in Euclidean 4-space 𝔼4, Sakarya University Journal of Science, 23(2019), 801-809. https://doi.org/10.16984/saufenbilder.524471
- G. Ozturk, B. Bulca, B. K. Bayram and K. Arslan, On canal surfaces in 𝔼3, Selcuk J. Appl. Math., 11(2010), 103-108.
- B. J. Pavkovic and I. Kamenarovic, The equiform differential geometry of curves in the Galilean space 𝔾3, Glas. Mat. Ser. III, 22(1987), 449-457.
- J. Qian and Y. H. Kim, Classifications of canal surfaces with L1-pointwise 1-type Gauss map, Milan J. Math., 83(1)(2015), 145-155. https://doi.org/10.1007/s00032-015-0233-2
- O. Roschel, Die Geometrie Des Galileischen Raumes, Forschungszentrum Graz Research Centre, Austria(1986).
- I. M. Yaglom, A simple non-Euclidean geometry and its physical basis, Springer-Verlag Inc., New York(1979).