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SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND
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In this article, we study generalized slant cylindrical surfaces (GSCS's)with pointwise 1-type Gauss map of the ¯rst and second kinds. Our main results state that the right circular cones are the only rational kind GSCS's with pointwise 1-type Gauss map of the second kind.
Abstract
In this article, we study generalized slant cylindrical surfaces (GSCS's)with pointwise 1-type Gauss map of the ¯rst and second kinds. Our main results state that the right circular cones are the only rational kind GSCS's with pointwise 1-type Gauss map of the second kind.
참고문헌 (11)
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- Bang-Yen Chen, "SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP", 대한수학회지, 42(3), pp.447~455 (2005), 대한수학회
- B.-Y. Chen, "Submanifolds with finite type Gauss map", Bull. Austral. Math. Soc, 35, pp.161~186 (1987)
- U. Dursun, "Flat surfaces in the Euclidean space E3 with pointwise 1-type Gauss map", Bull. Malays. Math. Sci. Soc, 33(2), pp.469~478 (2010)
- 김동수, "SURFACES WITH POINTWISE 1-TYPE GAUSS MAP", 순수 및 응용수학, 18(4), pp.369~377 (2011), 한국수학교육학회
- 김동수, "SURFACES WITH PLANAR LINES OF CURVATURE", 호남수학학술지, 32(4), pp.777~790 (2010), 호남수학회
- Y.H. Kim, "Ruled surfaces with finite type Gauss map in Minkowski spaces", Soochow J. Math, 26, pp.85~96 (2000)
- J. Oprea, "Differential geometry and its applications" (1997), Prentice Hall
관련 논문AI추천
SURFACES WITH POINTWISE 1-TYPE GAUSS MAP김동수한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES김동수, 송부선한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제3호SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE김동수, 김영호대한수학회 · 대한수학회지2015 · 제52권 제6호Gauss maps of ruled submanifolds and applications I김동수, 김영호, 윤대원, 정선미대한수학회 · 대한수학회지2016 · 제53권 제6호Characterization of conical ruled submanifolds associated with the Gauss map김영호, 정선미대한수학회 · 대한수학회지2025 · 제62권 제3호On the Ruled Surfaces with $L_1$-Pointwise 1-Type Gauss Map김영호, Nurettin Cenk Turgay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호
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