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Centroaffine Minimal Surfaces with ConstantCurvature Metric

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Abstract

We classify centroaffine minimal surfaces with constant curvature metric under some natural conditions on the cubic differentials.

참고문헌 (9)

  1. "Local classification of centroaffine Tchebychev surfaces with constant curvature metric" (1999), World Sci. Publishing, River Edge, NJ
  2. "Surfaces in terms of 2 by 2 matrices. Old and new integrable cases" (1994)
  3. "Pacific J. Math.", 136 1, pp.71~80 (1989)
  4. "Bianchi surfaces with constant Chebyshev angle", 27(1), pp.149~153 (2004)
  5. "The centroaffine Tchebychev operator, Festschrift dedicated to Katsumi Nomizu on his 70th birthday", 27(1-2) (1995)
  6. "Geom. Dedicata", 33 3, pp.277~288 (1990)
  7. "Hyperbolic surfaces in centro-affine geometry.", 11(1-3), pp.97~106 (2000)
  8. "Differential Geom. Appl.", 1 2, pp.123~132 (1991)
  9. "Centroaffine minimal hypersurfaces in Rn+1", pp.63~74 (1994)

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