최소 단어 이상 선택하여야 합니다.
최대 10 단어까지만 선택 가능합니다.
다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기Journal of the Korean Mathematical Society = 대한수학회지, v.55 no.4, 2018년, pp.923 - 938
Kisi, Ilim (Department of Mathematics Kocaeli University) , Ozturk, Gunay (Department of Mathematics Arts and Science Faculty Izmir Democracy University)
In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointw...
F. K. Aksoyak and Y. Yayli, General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space $E^4_2$ , Indian J. Pure Appl. Math. 46 (2015), no. 1, 107-118.
K. Arslan, B. K. Bayram, B. Bulca, Y. H. Kim, C. Murathan, and G. Ozturk, Rotational embeddings in ${\mathbb{E}}^4$ with pointwise 1-type Gauss map, Turkish J. Math. 35 (2011), no. 3, 493-499.
K. Arslan, B. K. Bayram, B. Bulca, Y. H. Kim, C. Murathan, and G. Ozturk, Vranceanu surface in ${\mathbb{E}}^4$ with pointwise 1-type Gauss map, Indian J. Pure Appl. Math. 42 (2011), no. 1, 41-51.
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.
C. Baikoussis and D. E. Blair, On the Gauss map of ruled surfaces, Glasgow Math. J. 34 (1992), no. 3, 355-359.
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.
C. Baikoussis and L. Verstraelen, On the Gauss map of helicoidal surfaces, Rend. Sem. Mat. Messina Ser. II 2(16) (1993), 31-42.
R. L. Bishop, There is more than one way to frame a curve, Amer. Math. Monthly 82 (1975), 246-251.
B. Bulca, A Characterization of Surfaces in $E^4$ , PhD, Uludag University, Bursa, Turkey, 2012.
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.
B.-Y. Chen, Geometry of Submanifolds, Marcel Dekker, Inc., New York, 1973.
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, A report on submanifolds of finite type, Soochow J. Math. 22 (1996), no. 2, 117-337.
B.-Y. Chen, On submanifolds of finite type, Soochow J. Math. 9 (1983), 17-33.
B.-Y. Chen and P. Piccinni, Submanifolds with finite type Gauss map, Bull. Austral. Math. Soc. 35 (1987), no. 2, 161-186.
U. Dursun and G. G. Arsan, Surfaces in the Euclidean space ${\mathbb{E}}^4$ with pointwise 1-type Gauss map, Hacet. J. Math. Stat. 40 (2011), no. 5, 617-625.
R. T. Farouki and C. A. Neff, Analytic properties of plane offset curves, Comput. Aided Geom. Design 7 (1990), no. 1-4, 83-99.
R. T. Farouki and C. A. Neff, Algebraic properties of plane offset curves, Comput. Aided Geom. Design 7 (1990), no. 1-4, 101-127.
F. Gokcelik, Z. Bozkurt, I. Gok, F. N. Ekmekci, and Y. Yayl, Parallel transport frame in 4-dimensional Euclidean space $E^4$ , Casp. J. Math. Sci. 3 (2014), no. 1, 91-103.
M. K. Karacan and B. Bukcu, On natural curvatures of Bishop frame, J. Vectorial Relativity 5 (2010), 34-41.
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.
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.
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.
I. Kisi and G. Ozturk, Tubular surface with pointwise 1-type Gauss map in Euclidean 4-space, under review.
I. Kisi, G. Ozturk, and K. Arslan, A new characterization of canal surfaces with parallel transport frame in Euclidean 4-space $E^4$ , arXiv:1502.06947 [math.DG].
G. Ozturk, B. Bulca, B. K. Bayram, and K. Arslan, On canal surfaces in $E^3$ , Selcuk J. Appl. Math. 11 (2010), no. 2, 103-108.
E. Salkowski, Zur Transformation von Raumkurven, Math. Ann. 66 (1909), no. 4, 517-557.
D. W. Yoon, On the Gauss map of translation surfaces in Minkowski 3-space, Taiwanese J. Math. 6 (2002), no. 3, 389-398.
*원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다.
오픈액세스 학술지에 출판된 논문
※ AI-Helper는 부적절한 답변을 할 수 있습니다.