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FACTORABLE SURFACES IN 3-MINKOWSKI SPACE
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 Title & Authors
FACTORABLE SURFACES IN 3-MINKOWSKI SPACE
Meng, Huihui; Liu, Huili;
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 Abstract
In this paper, we mainly discuss factorable surfaces in 3-dimensional Minkowski space and give classification of such surfaces whose mean curvature and Gauss curvature satisfy certain conditions.
 Keywords
Minkowski space;factorable surface;mean curvature;Gauss curvature;
 Language
English
 Cited by
1.
Classification of factorable surfaces in the pseudo-Galilean space, Glasnik Matematicki, 2015, 50, 2, 441  crossref(new windwow)
 References
1.
J. A. Aledo, J. M. Espinar, and J. A. Galvez, Timelike surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map, J. Geom. Phys. 56 (2006), no. 8, 1357–1369. crossref(new window)

2.
C. Baikoussis and T. Koufogiorgos, Helicoidal surfaces with prescribed mean or Gaussian curvature, J. Geom. 63 (1998), no. 1-2, 25–29. crossref(new window)

3.
D. E. Blair and Th. Koufogiorgos, Ruled surfaces with vanishing second Gaussian cur-vature, Monatsh. Math. 113 (1992), no. 3, 177–181. crossref(new window)

4.
F. Dillen and W. Sodsiri, Ruled surfaces of Weingarten type in Minkowski 3-space, J. Geom. 83 (2005), no. 1-2, 10–21. crossref(new window)

5.
V. P. Gorokh, Two-dimensional minimal surfaces in a pseudo-Euclidean space, Ukrain. Geom. Sb. No. 31 (1988), 36–47; translation in J. Soviet Math. 54 (1991), no. 1, 691–699.

6.
S. Hirakawa, Constant Gaussian curvature surfaces with parallel mean curvature vector in two-dimensional complex space forms, Geom. Dedicata 118 (2006), 229–244. crossref(new window)

7.
M. A. Magid, Timelike surfaces in Lorentz 3-space with prescribed mean curvature and Gauss map, Hokkaido Math. J. 20 (1991), no. 3, 447–464. crossref(new window)

8.
B. O'Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983.

9.
Y. Yu and H. Liu, The factorable minimal surfaces, Proceedings of the Eleventh International Workshop on Differential Geometry, 33–39, Kyungpook Nat. Univ., Taegu, 2007