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Affine Translation Surfaces with Constant Gaussian Curvature
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We study affine translation surfaces in R3 and get a complete classi¯cation of such surfaces with constant Gauss-Kronecker curvature.
Abstract
We study affine translation surfaces in R3 and get a complete classi¯cation of such surfaces with constant Gauss-Kronecker curvature.
참고문헌 (6)
- T. Binder, "Projectively flat affine surfaces", J. Geom., 79, pp.31~45 (2004)
- W. Blaschke, "Vorlesungen Uber Differentialgeometrie Ⅱ" (1923)
- F. Manhart, "Die affineminimalruckungfachen", Arch. Math., 44, pp.547~556 (1985)
- K. Nomizu, "Affine differential geometry: geometry of affine immersions" (1994), Cambridge University Press
- H. Sun, "On affine translation surfaces of constant mean curvature", Kumamoto J. Math., 13, pp.49~57 (2000)
- H. Sun, "On affine translation hypersurfaces of constant mean curvature", Publ. Math. Debrecen, 64(3), pp.381~390 (2004)
관련 논문AI추천
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