On the nonexistence of boundary branch points for minimal surfaces spanning smooth contours II |
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Authors: | A J Tromba |
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Institution: | 1. Department of Mathematics, University of California Santa Cruz, Santa Cruz, CA, 95064, USA
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Abstract: | This is the second in a series of two papers discussing the elementary but beautiful and fundamental question (open for some
eighty years) of whether or not a minimal surface spanning a sufficiently smooth curve, which is a local minimizer, is immersed
up to and including the boundary. We show that C
k
minimizers of energy or area cannot have nonexceptional boundary branch points. |
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Keywords: | |
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