1 |
K. Arslan, B. K. Bayram, B. Bulca, Y. H. Kim, C. Murathan, and G. Ozturk, Vranceanu surface in with pointwise 1-type Gauss map, Indian J. Pure Appl. Math. 42 (2011), no. 1, 41-51.
DOI
|
2 |
K. Arslan, B. Bulca, B. Klc, Y. H. Kim, C. Murathan, and G. Ozturk, Tensor product surfaces with pointwise 1-type Gauss map, Bull. Korean Math. Soc. 48 (2011), no. 3, 601-609.
DOI
|
3 |
K. Arslan, B. Bulca, and V. Milousheva, Meridian surfaces in with pointwise 1-type Gauss map, Bull. Korean Math. Soc. 51 (2014), no. 3, 911-922.
DOI
|
4 |
K. Arslan and V. Milousheva, Meridian surfaces of elliptic or hyperbolic type with pointwise 1-type Gauss map in Minkowski 4-space, Taiwanese J. Math. 20 (2016), no. 2, 311-332.
DOI
|
5 |
C. Baikoussis and D. E. Blair, On the Gauss map of ruled surfaces, Glasgow Math. J. 34 (1992), no. 3, 355-359.
DOI
|
6 |
C. Baikoussis, B.-Y. Chen, and L. Verstraelen, Ruled surfaces and tubes with finite type Gauss map, Tokyo J. Math. 16 (1993), no. 2, 341-349.
DOI
|
7 |
C. Baikoussis and L. Verstraelen, On the Gauss map of helicoidal surfaces, Rend. Sem. Mat. Messina Ser. II 2(16) (1993), 31-42.
|
8 |
R. L. Bishop, There is more than one way to frame a curve, Amer. Math. Monthly 82 (1975), 246-251.
DOI
|
9 |
B. Bulca, A Characterization of Surfaces in , PhD, Uludag University, Bursa, Turkey, 2012.
|
10 |
B. Bulca, K. Arslan, B. Bayram, and G. Ozturk, Canal surfaces in 4-dimensional Euclidean space, An International Journal of Optimization and Control: Theories & Applications 7 (2017), no. 1, 83-89.
|
11 |
B.-Y. Chen, Geometry of Submanifolds, Marcel Dekker, Inc., New York, 1973.
|
12 |
B.-Y. Chen, Total Mean Curvature and Submanifolds of Finite Type, Series in Pure Mathematics, 1, World Scientific Publishing Co., Singapore, 1984.
|
13 |
B.-Y. Chen, A report on submanifolds of finite type, Soochow J. Math. 22 (1996), no. 2, 117-337.
|
14 |
B.-Y. Chen, On submanifolds of finite type, Soochow J. Math. 9 (1983), 17-33.
|
15 |
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.
DOI
|
16 |
B.-Y. Chen and P. Piccinni, Submanifolds with finite type Gauss map, Bull. Austral. Math. Soc. 35 (1987), no. 2, 161-186.
DOI
|
17 |
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.
|
18 |
R. T. Farouki and C. A. Neff, Analytic properties of plane offset curves, Comput. Aided Geom. Design 7 (1990), no. 1-4, 83-99.
DOI
|
19 |
U. Dursun, On spacelike rotational surfaces with pointwise 1-type Gauss map, Bull. Korean Math. Soc. 52 (2015), no. 1, 301-312.
DOI
|
20 |
U. Dursun and G. G. Arsan, Surfaces in the Euclidean space with pointwise 1-type Gauss map, Hacet. J. Math. Stat. 40 (2011), no. 5, 617-625.
|
21 |
R. T. Farouki and C. A. Neff, Algebraic properties of plane offset curves, Comput. Aided Geom. Design 7 (1990), no. 1-4, 101-127.
DOI
|
22 |
F. Gokcelik, Z. Bozkurt, I. Gok, F. N. Ekmekci, and Y. Yayl, Parallel transport frame in 4-dimensional Euclidean space , Casp. J. Math. Sci. 3 (2014), no. 1, 91-103.
|
23 |
M. K. Karacan and B. Bukcu, On natural curvatures of Bishop frame, J. Vectorial Relativity 5 (2010), 34-41.
|
24 |
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.
|
25 |
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.
DOI
|
26 |
Y. H. Kim and D. W. Yoon, Classifications of rotation surfaces in pseudo-Euclidean space, J. Korean Math. Soc. 41 (2004), no. 2, 379-396.
DOI
|
27 |
I. Kisi and G. Ozturk, A new approach to canal surface with parallel transport frame, Int. J. Geom. Methods Mod. Phys. 14 (2017), no. 2, 1750026, 16 pp.
|
28 |
I. Kisi and G. Ozturk, Tubular surface with pointwise 1-type Gauss map in Euclidean 4-space, under review.
|
29 |
A. Niang, Rotation surfaces with 1-type Gauss map, Bull. Korean Math. Soc. 42 (2005), no. 1, 23-27.
DOI
|
30 |
I. Kisi, G. Ozturk, and K. Arslan, A new characterization of canal surfaces with parallel transport frame in Euclidean 4-space , arXiv:1502.06947 [math.DG].
|
31 |
G. Ozturk, B. Bulca, B. K. Bayram, and K. Arslan, On canal surfaces in , Selcuk J. Appl. Math. 11 (2010), no. 2, 103-108.
|
32 |
E. Salkowski, Zur Transformation von Raumkurven, Math. Ann. 66 (1909), no. 4, 517-557.
DOI
|
33 |
D. W. Yoon, On the Gauss map of translation surfaces in Minkowski 3-space, Taiwanese J. Math. 6 (2002), no. 3, 389-398.
DOI
|
34 |
K. Arslan, B. K. Bayram, B. Bulca, Y. H. Kim, C. Murathan, and G. Ozturk, Rotational embeddings in with pointwise 1-type Gauss map, Turkish J. Math. 35 (2011), no. 3, 493-499.
DOI
|
35 |
F. K. Aksoyak and Y. Yayli, General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space , Indian J. Pure Appl. Math. 46 (2015), no. 1, 107-118.
DOI
|