j differential geometry COMPLETE EMBEDDED MINIMAL SURFACES OF FINITE TOTAL CURVATURE
نویسنده
چکیده
A general construction for complete embedded minimal surfaces of nite total curvature in Euclidean three space is carried out In particular ex amples with an arbitrary number of ends are given for the rst time The construction amounts to desingularizing the circles of intersection of a col lection of coaxial catenoids and planes The desingularization process uses Scherk s singly periodic surfaces for an approximate construction which is subsequently corrected by singular perturbation methods
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تاریخ انتشار 1997