AXISYMMETRIC AND NONAXISYMMETRIC TOROIDAL VESICLE MEMBRANES
XIE YU-ZHANG (谢毓章)a, OUYANG ZHONG-CAN (欧阳钟灿)b
a Department of Modern Applied Physics, Tsinghua University, Beijing 100084, China; Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China; b Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
Abstract In this report we are going to show that the parametric equation of the Clifford torus used in the brief report, Phys. Rev. A41(1900), 4517, is in consistency with the parametric equation of the Dupin cyclide under the condition c = 0 used in the brief report, Phys. Rev. E47(1993), 747. The necessary and sufficient conditions for the existence of Dupin cyclide vesicle membrane are derived in this report.
Received: 12 March 1993
Accepted manuscript online:
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