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Abstract We examine the vertical component of surface area in the warped product of a Euclidean interval and a fiber manifold with product density.We determine general conditions under which vertical fibers minimize vertical surface area among regions bounding the same volume and use these...
Abstract Constructing constant width sets or, more generally, complete sets in Banach spaces seems to be a not so easy task. A new construction working in separable Banach spaces is presented, and Bavaud’s and Lachand-Robert and Oudet’s constructions of complete sets are extended to a more...
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