논문KCI 등재
Study on BCN and BAN Ruled Surfaces in $\mathbb{E}^{3}$
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
As a continuation to the study in [8, 12, 15, 17], we construct bi-conservative central normal (BCN) and bi-conservative asymptomatic normal (BAN) ruled surfaces in Euclidean 3-space $\mathbb{E}^{3}$. For such surfaces, local study is given and some examples are constructed using computer aided geometric design (CAGD).
Abstract
As a continuation to the study in [8, 12, 15, 17], we construct bi-conservative central normal (BCN) and bi-conservative asymptomatic normal (BAN) ruled surfaces in Euclidean 3-space $\mathbb{E}^{3}$. For such surfaces, local study is given and some examples are constructed using computer aided geometric design (CAGD).
참고문헌 (22)
- Abdel-All, N. H., "Critical values of deformed osculating hyperruled surfaces", Indian J. Pure Appl. Math, 32(8), pp.1217~1228 (2001)
- Abdel-All, N. H., "Stability of closed hyperruled surfaces", Chaos, Solitons and Fractals, 13, pp.1077~1092 (2002)
- Abdel-All, N. H., "Extension B-scroll surfaces in Lorentz 3-dimensional space", Rivista Di Math, 3(6), pp.57~67 (2000)
- Abdel-All, N. H., "Corre-sponding developable ruled surfaces in Euclidean 3-space E3", J. Math. Comput. Sci, 6(3), pp.390~405 (2016)
- Abdel-All, N. H., "Ruled surfaces with timelike rullings", Appl. Math. Comput, 147, pp.241~253 (2004)
- Abd-Ellah, H. N., "Translation L", W-surfaces in Euclidean 3-space E3, 2015, pp.23, 513~517
- Caddeo, R., "Surfaces in the three-dimensional space forms with divergence-free stress-bienergy tensor", Ann. Mat. Pura Appl., 193(4), pp.529~550 (2014)
- Chen, B. Y., "Biharmonic ideal hypersurfaces in Euclidean spaces", Differ. Geom. Appl., 31, pp.1~16 (2013)
- Chen, B. Y., "Geometry of Submanifolds" (1973), Marcel Dekker
- Chen, B. Y., "Some open problems and conjectures on submanifolds of nite type", Soochow Journal of Mathematics, 17(2), pp.169~188 (1991)
- Fu, Yu, "A class of Weingarten surfaces in Euclidean 3-space" (2013), Hin-dawi Publishing Corporation
- Fu, Yu, "On bi-conservative surfaces in Minkowski 3-space", Journal of Geometry and Physics, 33, pp.71~79 (2013)
- Gray, A, "Modern Differential Geometry of Curves and Surfaces" (1993), CRC Press
- Gray, A., "Modern Differential Geometry of Curves and Surfaces with Mathematica", pp.2006, Chapman, Hall
- Fathi M. Hamdoon, "Studying on a skew ruled surface by using the geodesic Frenet trihedron of its generator", 한국수학논문집, 24(4), pp.613~626 (2016), 강원경기수학회[DOI]
- Hasanis, T., "Hypersurfaces in E4 with harmonic mean curvature vector field", Mathematische Nachrichten, 172, pp.145~169 (1995)
- Montaldo, S., "Bi-conservative surfaces", J. Geom. Anal.
- Orbay, K., "Mannheim offsets of ruled surfaces", Mathematical Proplems in Engineering (2009)
- Ravani, B., "Bertrand osets of ruled and developable surfaces", Computer-Aided Design, 23(2), pp.145~152 (1991)
- Shifrin, T., "Differential Geometry: A First Course in Curves and Surfaces, Preliminary Version" (2015), Spring
- Soliman, M. A., "Geometric properties and invariants of Mannheim osets of timelike ruled surface with timelike ruling", Mitteilungen Klosterneuburg J, 65, pp.285~299 (2015)
- Yilmaz, T., "On the geometry of the rst and second funda-mental forms of canal surfaces, math", DG, ~ (2011)
관련 논문AI추천
On Ruled Surfaces with a Sannia Frame in Euclidean 3-spaceKemal Eren, Suleyman Senyurt경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제3호Ruled surfaces generated by Salkowski curve and its Frenet vectors in Euclidean 3-spaceEbru Çakıl, Sümeyye Gür Mazlum강원경기수학회 · 한국수학논문집2024 · 제32권 제2호On the Ruled Surfaces with $L_1$-Pointwise 1-Type Gauss Map김영호, Nurettin Cenk Turgay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호Position vector of a developable $q$-slant ruled surfaceMehmet Onder, Onur Kaya강원경기수학회 · 한국수학논문집2018 · 제26권 제4호On the curvature functions of tube-like surfaces in the Galilean spaceAdel H. Sorour, Hossam Eldeen S. Abdel-Aziz대한수학회 · 대한수학회논문집2021 · 제36권 제3호Classification of Ruld Surfaces with Non-degenerate Second Fundamental Forms in Lorenz-Minkowski 3-spaces윤대원, Sunmi Jung, Young Ho Kim경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호
이 간행물의 다른 논문 (8건)
General nonconvex split variational inequality problemsSalahuddin, 임원희, 김종규pp. 469-481On singular integral operators involving power nonlinearityOzge Ozalp Guller, Vishnu Narayan Mishra, Gumrah Uysal, Sevgi Esen Almalipp. 483-494Multiplicity of solutions of elliptic system using two critical point theorem남혜원pp. 495-511Surfaces foliated by ellipses with constant Gaussian curvature in Euclidean 3-spaceFathi M. Hamdoon, Ahmed T. Alipp. 537-554Symmetry about circles and constant mean curvature surface박성호pp. 555-561
