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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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  3. B.-Y. Chen, "Total mean curvature and submanifolds of finite type", World Scientific Publ.
  4. B.-Y. Chen, "Finite type submanifolds and generalizations" (1985), University of Rome
  5. Bang-Yen Chen, "SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP", 대한수학회지, 42(3), pp.447~455 (2005), 대한수학회
  6. B.-Y. Chen, "Submanifolds with finite type Gauss map", Bull. Austral. Math. Soc, 35, pp.161~186 (1987)
  7. 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)
  8. 김동수, "SURFACES WITH POINTWISE 1-TYPE GAUSS MAP", 순수 및 응용수학, 18(4), pp.369~377 (2011), 한국수학교육학회
  9. 김동수, "SURFACES WITH PLANAR LINES OF CURVATURE", 호남수학학술지, 32(4), pp.777~790 (2010), 호남수학회
  10. Y.H. Kim, "Ruled surfaces with finite type Gauss map in Minkowski spaces", Soochow J. Math, 26, pp.85~96 (2000)
  11. J. Oprea, "Differential geometry and its applications" (1997), Prentice Hall

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