COMPLETE SURFACES IN $E^3$ WITH CONSTANT MEAN CURVATURE
DOI:
https://doi.org/10.5556/j.tkjm.22.1991.4576Keywords:
unknownAbstract
We give a classification of surfaces in $E^3$ with constant mean curvature and the Gaussian curvature $K$ not changing its sign around some point at which $K$ vanishes.
References
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S.S . Chern., "An elementary proof of existence of isothermal parameter on a surface", Proc. Amer. Math. Soc. 6 (1955), 771-782.
T. ltoh., "Complete surfaces in E4 with constant mean curvature", Kiidai Math. Sem. Rep. 22 (1970), 150-158.
T. Klotz and R. Osserman, Complete surfaces in E3 with constant mean curvature", Comm. Math. Helv. 41 (1966-67), 313-318.
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