Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay
نویسندگان
چکیده
منابع مشابه
Constant mean curvature surfaces with Delaunay ends
In this paper we shall present a construction of Alexandrov-embedded complete surfaces M in R with nitely many ends and nite topology, and with nonzero constant mean curvature (CMC). This construction is parallel to the well-known original construction by Kapouleas [3], but we feel that ours somewhat simpler analytically, and controls the resulting geometry more closely. On the other hand, the ...
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We consider constant mean curvature surfaces with finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors [GKS2, GKS1]. Here we extend the arguments to the case of an arbitrary number of ends, under the assumption that the asymptotic axes of the ends lie in a common plane...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2018
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2015-0117