The Dynamics Theorem for properly embedded minimal surfaces
نویسندگان
چکیده
منابع مشابه
Complete Properly Embedded Minimal Surfaces in R3
In this short paper, we apply estimates and ideas from [CM4] to study the ends of a properly embedded complete minimal surface 2 ⊂ R3 with finite topology. The main result is that any complete properly embedded minimal annulus that lies above a sufficiently narrow downward sloping cone must have finite total curvature. In this short paper, we apply estimates and ideas from [CM4] to study the en...
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While advances have been made in recent years in the study of properly embedded minimal surfaces of finite topology in R3 [3,5,8,9, 11, 12, 13,23], progress has depended, in an essential manner, on the special structure of such surfaces with finite total curvature. A properly immersed minimal surface with finite total curvature is, conformally, a compact Riemann surface punctured in a finite nu...
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Let M denote the set of connected properly embedded minimal surfaces in R with at least two ends. At the beginning of the past decade, there were two outstanding conjectures on the asymptotic geometry of the ends of an M ∈ M that were known to lead to topological restrictions on M . The first of these conjectures, the generalized Nitsche conjecture, stated that an annular end of such a M ∈ M is...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2015
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-015-1311-z