Hyperbolic surfaces in centro-affine geometry: integrability and discretization
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Publication:997444
DOI10.1016/S0960-0779(98)00273-2zbMath1115.53302MaRDI QIDQ997444
Publication date: 6 August 2007
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Affine differential geometry (53A15)
Related Items
Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system ⋮ Centroaffine surfaces with parallel or recurrent cubic form relative to the induced connection ⋮ Centroaffine surfaces of cohomogeneity one with planar curvature lines ⋮ Centroaffine surfaces of cohomogeneity one ⋮ Projective minimality for centroaffine minimal surfaces ⋮ Gaussian and mean curvatures for discrete asymptotic nets ⋮ Centroaffine minimal surfaces whose centroaffine curvature and Pick function are constants ⋮ Representation formula for discrete indefinite affine spheres
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