On Tensor Product Surfaces of Lorentzian Planar Curves with Pointwise 1-Type Gauss Map

Kaynakça (18)

1. Arslan, K., Bayram, B. K., Bulca, B., Kim, Y. H., Murathan, C. and Ozturk, G., Rotational embeddings in E4 with pointwise 1-type Gaussmap. Turk. J. Math. 35 (2011), 493-499
2. Arslan, K., Bulca, B., Kılıc, B., Kim, Y. H., Murathan, C. and Ozturk, G., Tensor Product Surfaces with Pointwise 1-Type Gauss Map. Bull.Korean Math. Soc. 48 (2011), 601-609
3. Arslan, K. and Murathan, C., Tensor product surfaces of pseudo-Euclidean planar curves. Geometry and topology of submanifolds, VII (Leuven, 1994/Brussels, 1994) World Sci. Publ., River Edge, NJ (1995), 71-74
4. Carmo, M. do, Riemannian geometry. Birkhauser, 1993
5. Chen, B. Y., Choi, M. and Kim, Y. H., Surfaces of revolution with pointwise 1-type Gauss map. J. Korean Math. 42 (2005), 447-455
6. Chen, B. Y., Geometry of Submanifolds. M. Dekker, New York, 1973
7. Chen, B. Y., Differential Geometry of semiring of immersions, I: General Theory. Bull. Inst. Math. Acad. Sinica 21 (1993), 1-34
8. Choi, M. and Kim, Y. H., Characterization of the helicoid as ruled surfaces with pointwise 1-type Gauss map. Bull. Korean Math. Soc. 38(2001), 753–761
9. Decruyenaere, F., Dillen, F., Verstraelen, L. and Vrancken, L., The semiring of immersions of manifolds. Beitrage Algebra Geom. 34 (1993), 209-215
10. Decruyenaere, F., Dillen, F., Mihai, I. and Verstraelen, L., Tensor products of spherical and equivariant immersions. Bull. Belg. Math. Soc.- Simon Stevin 1 (1994), 643-648
11. Dursun, U. and Arsan, G.G., Surfaces in the Euclidean space E4 with pointwise 1-type Gauss map. Hacet. J. Math. Stat. 40 (2011), 617-625
12. İlarslan, K. and Nesovic, E., Tensor product surfaces of a Lorentzian space curve and a Lorentzian plane curve. Bull. Inst. Math. Acad. Sinica 33 (2005), 151-171
13. Kim, Y.H. and Yoon, D. W., Ruled surfaces with pointwise 1-type Gauss map. J. Geom. Phys. 34 (2000), 191-205
14. Kim, Y.H. and Yoon, D. W., Classification of rotation surfaces in pseudo-Euclidean space. J. Korean Math. 41 (2004), 379-396
15. Niang, A., Rotation surfaces with 1-type Gauss map, Bull. Korean Math. Soc. 42 (2005), 23-27
16. O‘Neill, B., Semi - Riemannian Geometry with applications to relavity. Academic Press. New York, (1983)
17. Özkaldı, S. and Yaylı, Y., Tensor product surfaces in R4 and Lie groups. Bull. Malays. Math. Sci. Soc. (2) 33 (2010), no. 1, 69-77
18. Yoon, D. W., On the Gauss map of translation surfaces in Minkowski 3-spaces. Taiwanese J. Math. 6 (2002), 389-398.