Minimal surfaces with two ends which have the least total absolute curvature
classification
🧮 math.DG
keywords
curvatureminimalsurfacestotalabsoluteendsfamilyleast
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In this paper, we consider complete non-catenoidal minimal surfaces of finite total curvature with two ends. A family of such minimal surfaces with least total absolute curvature is given. Moreover, we obtain a uniqueness theorem for this family from its symmetries.
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