A new type of tubular surface having pointwise $1$-type Gauss map in Euclidean $4$-space $\mathbb{E}^{4}$

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참고문헌 (35)

1. F. K. Aksoyak, "General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space <TEX>$E^4_2$<", TEX>, 2015, pp.46(1), 107~118
2. K. Arslan, "Rotational embeddings in <TEX>${\mathbb{E}}^4$<", TEX> with pointwise 1-type Gauss map, 2011, pp.35(3), 493~499
3. K. Arslan, "Vranceanu surface in <TEX>${\mathbb{E}}^4$<", TEX> with pointwise 1-type Gauss map, 2011, pp.42(1), 41~51
4. Kadri Arslan, "Tensor product surfaces with pointwise 1-type Gauss map", 대한수학회보, 48(3), pp.601~609 (2011), 대한수학회
5. Kadri Arslan, "MERIDIAN SURFACES IN E4 WITH POINTWISE 1-TYPE GAUSS MAP", 대한수학회보, 51(3), pp.911~922 (2014), 대한수학회
6. K. Arslan, "Meridian surfaces of elliptic or hyperbolic type with pointwise 1-type Gauss map in Minkowski 4-space", Taiwanese J. Math., 20(2), pp.311~332 (2016)[DOI]
7. C. Baikoussis, "On the Gauss map of ruled surfaces", Glasgow Math. J., 34(3), pp.355~359 (1992)[DOI]
8. C. Baikoussis, "Ruled surfaces and tubes with finite type Gauss map", Tokyo J. Math., 16(2), pp.341~349 (1993)[DOI]
9. C. Baikoussis, "On the Gauss map of helicoidal surfaces", Rend. Sem. Mat. Messina Ser. II, 2(16), pp.31~42 (1993)
10. R. L. Bishop, "There is more than one way to frame a curve", Amer. Math. Monthly, 82, pp.246~251 (1975)[DOI]
11. B. Bulca, "A Characterization of Surfaces in <TEX>$E^4$<", TEX>, Uludag University, 2012
12. B. Bulca, "Canal surfaces in 4-dimensional Euclidean space", An International Journal of Optimization and Control: Theories & Applications, 7(1), pp.83~89 (2017)
13. B.-Y. Chen, "Geometry of Submanifolds" (1973), Marcel Dekker, Inc.
14. B.-Y. Chen, "Total Mean Curvature and Submanifolds of Finite Type, Series in Pure Mathematics, 1" (1984), World Scientific Publishing Co.
15. B.-Y. Chen, "A report on submanifolds of finite type", Soochow J. Math., 22(2), pp.117~337 (1996)
16. B.-Y. Chen, "On submanifolds of finite type", Soochow J. Math., 9, pp.17~33 (1983)
17. Bang-Yen Chen, "SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP", 대한수학회지, 42(3), pp.447~455 (2005), 대한수학회
18. B.-Y. Chen, "Submanifolds with finite type Gauss map", Bull. Austral. Math. Soc., 35(2), pp.161~186 (1987)[DOI]
19. M. Choi, "Characterization of the helicoid as ruled surfaces with pointwise 1-type Gauss map", Bull. Korean Math. Soc., 38(4), pp.753~761 (2001)
20. Ugur Dursun, "On spacelike rotational surfaces with pointwise 1-type Gauss map", 대한수학회보, 52(1), pp.301~312 (2015), 대한수학회
21. U. Dursun, "Surfaces in the Euclidean space <TEX>${\mathbb{E}}^4$<", TEX> with pointwise 1-type Gauss map, 2011, pp.40(5), 617~625
22. R. T. Farouki, "Analytic properties of plane offset curves", Comput. Aided Geom. Design, 7(1-4), pp.83~99 (1990)[DOI]
23. R. T. Farouki, "Algebraic properties of plane offset curves", Comput. Aided Geom. Design, 7(1-4), pp.101~127 (1990)[DOI]
24. F. Gokcelik, "Parallel transport frame in 4-dimensional Euclidean space <TEX>$E^4$<", TEX>, 2014, pp.3(1), 91~103
25. M. K. Karacan, "On natural curvatures of Bishop frame", J. Vectorial Relativity, 5, pp.34~41 (2010)
26. Y. H. Kim, "Ruled surfaces with finite type Gauss map in Minkowski spaces", Soochow J. Math., 26(1), pp.85~96 (2000)
27. Y. H. Kim, "Ruled surfaces with pointwise 1-type Gauss map", J. Geom. Phys., 34(3-4), pp.191~205 (2000)[DOI]
28. 김영호, "Classifications of rotation surfaces in pseudo-Euclidean space", 대한수학회지, 41(2), pp.379~396 (2004), 대한수학회
29. I. Kisi, "A new approach to canal surface with parallel transport frame", Int. J. Geom. Methods Mod. Phys., 14(2), pp.16~ (2017)
30. I. Kisi, "Tubular surface with pointwise 1-type Gauss map in Euclidean 4-space, under review"
31. I. Kisi, "A new characterization of canal surfaces with parallel transport frame in Euclidean 4-space <TEX>$E^4$<", TEX>
32. Athoumane Niang, "Rotation surfaces with 1-type Gauss map", 대한수학회보, 42(1), pp.23~27 (2005), 대한수학회
33. G. Ozturk, "On canal surfaces in <TEX>$E^3$<", TEX>, 2010, pp.11(2), 103~108
34. E. Salkowski, "Zur Transformation von Raumkurven", Math. Ann., 66(4), pp.517~557 (1909)[DOI]
35. D. W. Yoon, "On the Gauss map of translation surfaces in Minkowski 3-space", Taiwanese J. Math., 6(3), pp.389~398 (2002)[DOI]

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