논문KCI 등재
Ribaucour transformations of the Surfaces with constant positive Gaussian curvatures in the 3-dimensional Euclidean space
대한수학회 (The Korean Mathematical Society)|2006.01|대한수학회논문집 (Communications of the KMS)|제21권 제1호|pp. 165-175
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Abstract
We associate the surfaces of constant Gaussian curvature $K=1$ with no umbilics to a subclass of the solutions of $O(4,1)/O(3)\times O(1,1)$-system. From this correspondence, we can construct new $K=1$ surfaces from a known $K=1$ surface by using a kind of dressing actions on the solutions of this system.
참고문헌 (8)
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- "Remarks on the Darboux transform of isothermic surfaces" (1997)
- "Riemannian submanifolds in Lorentzian manifolds with the same constant curvatures", pp.237~ (2002)
- "Lorentzian submanifolds in Lorentzian space form with the same constant curvatures" (2004)
- "Soliton equations and differential geometry" (1997)
관련 논문AI추천
Ribaucour transformations on Riemannian space forms in Lorentzian space form박준상대한수학회 · 대한수학회논문집2006 · 제21권 제4호Ribaucour transformation for flat $m$-submanifolds in $\Bbb{H}^{m+n}$Dafeng Zuo대한수학회 · 대한수학회논문집2006 · 제21권 제4호Affine Translation Surfaces with Constant Gaussian CurvatureYu Fu, Zhong-Hua Hou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제2호Lorentzian surfaces with constant curvatures and transformations in the 3-dimensional Lorentzian space박준상대한수학회 · 대한수학회지2008 · 제45권 제1호On rotation surfaces in the Minkowski 3-dimensional spacewith pointwise 1-type gauss mapAthoumane Niang대한수학회 · 대한수학회지2004 · 제41권 제6호Ribaucour transformations on Lorentzian space forms in Lorentzian space forms박준상대한수학회 · 대한수학회지2008 · 제45권 제6호
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