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Research Report MRR97-014

On minimal annuli with straight line boundary

Yi Fang

Abstract: We generalize Shiffman's first theorem to the case that suppose that A is a properly embedded minimal annulus in a slab and A is bounded by a strictly convex $C^2$ Jordan curve and a straight line contained respectively in the two boundary planes P and Q of the slab, then A intersects all parallel planes in between P and Q in strictly convex curves.

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