A method to exclude branch points of minimal surfaces

被引:0
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作者
Daniel Wienholtz
机构
[1] Mathematisches Institut der Universität Bonn,
[2] Beringstraße 1,undefined
[3] D-53115 Bonn,undefined
[4] Germany (e-mail: dw@rhein.iam.uni-bonn.de) ,undefined
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Mathematics Subject Classification (1991):58 E 12, 49 Q 05, 53 A 10;
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摘要
The central problem of this paper is to exclude boundary branch points of minimal surfaces. The method consists in showing that the third derivative of the Dirichlet energy is negative along well-chosen paths in admissible Jacobi field directions, if a “Schüffler condition” is satisfied.
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页码:219 / 247
页数:28
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