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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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We study surfaces in Euclidean space which are obtained as the sum of two curves or that are graphs of the product of two functions.
We consider the problem of finding all these surfaces with constant Gauss curvature. We extend the results to non-degenerate surfaces in Lorentz- Minkowski space.
목차
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참고문헌 (10)
참고문헌 신청
F. Dillen / 1998 / The surface of Scherk in E3 : a special case in the class of minimal surfaces defined as the sum of two curves / Bull. Inst. Math. Acad. Sin 26 (4) : 257 ~
H. F. Scherk / 1835 / Bemerkungen ¨uber die kleinste Fl¨ache innerhalb gegebener Grenzen / J. Reine Angew. Math 13 : 185 ~ 208
H. Liu / 1999 / Translation surfaces with constant mean curvature in 3-dimensional spaces / J. Geom 64 (1-2) : 141 ~ 149
I. Van de Woestyne / 1993 / A new characterization of the helicoids, Geometry and topology of submanifolds, V / World Sci. Publ : 267 ~ 273
I. Van de Woestyne / 1995 / Minimal homothetical hypersurfaces of a semi-Euclidean space / Results Math 27 (3-4) : 333 ~ 342
H. F. Scherk / 1835 / Bemerkungen ¨uber die kleinste Fl¨ache innerhalb gegebener Grenzen / J. Reine Angew. Math 13 : 185 ~ 208
H. Liu / 1999 / Translation surfaces with constant mean curvature in 3-dimensional spaces / J. Geom 64 (1-2) : 141 ~ 149
I. Van de Woestyne / 1993 / A new characterization of the helicoids, Geometry and topology of submanifolds, V / World Sci. Publ : 267 ~ 273
I. Van de Woestyne / 1995 / Minimal homothetical hypersurfaces of a semi-Euclidean space / Results Math 27 (3-4) : 333 ~ 342
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