Timelike Surfaces with Harmonic Inverse Mean Curvature

نویسنده

  • Atsushi Fujioka
چکیده

In classical differential geometry, surfaces of constant mean curvature (CMC surfaces) have been studied extensively [1]. As a generalization of CMC surfaces, Bobenko [2] introduced the notion of surface with harmonic inverse mean curvature (HIMC surface). He showed that HIMC surfaces admit Lax representation with variable spectral parameter. In [5], Bobenko, Eitner and Kitaev showed that the Gauss equations of θ-isothermic HIMC surfaces reduce to the ordinary differential equation:

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تاریخ انتشار 1999