منابع مشابه
Minimal Surfaces in M × R
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Let M<=R be a minimal surface. A domain Z><= M is an open connected set with compact closure D and such that its boundary dD is a finite union of piecewise smooth curves. We say that D is stable if D is a minimum for the area function of the induced metric, for all variations of D which keep dD fixed. In this note we announce the following estimate of the "size" of a stable minimal surface. We ...
متن کاملMinimal surfaces in H × R
We construct complete embedded minimal surfaces in H × R. The first one is a finite total curvature surface which is conformal to S \ {p1, ..., pk}, k ≥ 2; the second one is a 1-parameter family of singly-periodic minimal surfaces which is asymptotic to a horizontal plane and a vertical plane; the third one is a 2-parameter family of minimal surfaces which have a fundamental piece of finite tot...
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We construct new examples of immersed minimal surfaces with catenoid ends and finite total curvature, of both genus zero and higher genus. In the genus zero case, we classify all such surfaces with at most 2n+1 ends, and with symmetry group the natural Z2 extension of the dihedral group Dn. 1 2 The surfaces are constructed by proving existence of the conjugate surfaces. We extend this method to...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2004
ISSN: 0022-040X
DOI: 10.4310/jdg/1115669593