참고문헌
-
M. Bekkar and H. Zoubir Surfaces of revolution in the 3-dimensional Lorentz- Minkowski space satisfying
${\Delta}x^i={\lambda}^ix^i$ , Int. J. Contemp. Math. Sci., 3(2008), 1173-1185. -
M. Bekkar and B. Senoussi, Translation surfaces in the 3-dimensional space satisfying
${\Delta}^{III}r_i={\mu}_ir_i$ , J. Geom., 103(3)(2012), 367-374. https://doi.org/10.1007/s00022-012-0136-0 - B.-Y. Chen, Total mean curvature and submanifolds of finite type, Series in Pure Mathematics 1, World Scientific Publ., 1984.
- B.-Y. Chen and P. Piccinni, Submanifolds with finite type Gauss map, Bull. Austral. Math. Soc., 35(2)(1987), 161-186. https://doi.org/10.1017/S0004972700013162
- S. M. Choi, On the Gauss map of surfaces of revolution in a 3-dimensional Minkowski space, Tsukuba J. Math., 19(2)(1995), 351-367. https://doi.org/10.21099/tkbjm/1496162874
- S. M. Choi, Y. H. Kim and D. W. Yoon, Some classification of surfaces of revolution in Minkowski 3-space, J. Geom., 104(2013), 85-106. https://doi.org/10.1007/s00022-013-0149-3
- M. Choi and D. W Yoon, Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space, Bull. Korean Math. Soc., 53(2)(2016), 519-530. https://doi.org/10.4134/BKMS.2016.53.2.519
- M.Dede, C. Ekici and W. Goemans, Surfaces of revolution with vanishing curvature in Galilean 3-space, Zh. Mat. Fiz. Anal. Geom., 14(2018), 141-152. https://doi.org/10.15407/mag14.02.141
- F. Dillen, J. Pas and L. Vertraelen, On surfaces of finite type in Euclidean 3-space, Kodai Math. J., 13(1990), 10-21. https://doi.org/10.2996/kmj/1138039155
- F. Dillen, J. Pas and L. Verstraelen, On the Gauss map of surfaces of revolution, Bull. Inst. Math. Acad. Sinica, 18(1990), 239-246.
- O. J. Garay, An extension of Takahashi's theorem, Geom. Dedicata, 34(1990), 105-112. https://doi.org/10.1007/BF00147319
-
G. Kaimakamis, B. Papantoniou and K. Petoumenos, Surfaces of revolution in the 3- dimensional Lorentz-Minkowski space
$E^3_1$ satisfying${\Delta}^{{III}\overrightarrow{r}=A{\overrightarrow{r}}$ , Bull. Greek Math. Soc., 50(2005), 75-90. -
M. K. Karacan, D. W. Yoon and B. Bukcu, Surfaces of revolution in the three dimen- sional simply isotropic space
$\mathbb{I}_3^1$ , Asia Pac. J. Math., 4(1)(2017), 1-10. -
B. Senoussi and M. Bekkar, Helicoidal surfaces with
${\Delta}^Jr$ = Ar in 3-dimensional Euclidean space, Stud. Univ. Babes-Bolyai Math., 60(3)(2015), 437-448. - Z. M. Sipus and B. Divjak, Translation surfacesin in the Galilean space, Glas. Mat. Ser. III, 46(66)(2011), 455-469. https://doi.org/10.3336/gm.46.2.14
- Z. M. Sipus and B. Divjak, Surfaces of constant curvature in the pseudo-Galilean space, Int. J. Math. Math. Sci., (2012), Art. ID 375264, 28 pp.
- T. Takahashi, Minimal immersions of Riemannian manifolds, J. Math. Soc. Japan, 18(1966), 380-385. https://doi.org/10.2969/jmsj/01840380
- D. W. Yoon, Surfaces of revolution in the three dimensional pseudo-Galilean space, Glas. Mat. Ser. III, 48(68)(2013), 415-428. https://doi.org/10.3336/gm.48.2.13
- D. W. Yoon, Classification of rotational surfaces in pseudo-Galilean space, Glas. Mat. Ser. III, 50(70)(2015), 453-465. https://doi.org/10.3336/gm.50.2.13